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High School Math Algebra Pre-Algebra, Student Edition

The simplified expression

The simplified expression

Pre-Algebra, Student Edition

Pre-Algebra, Student Edition

1st Edition

ISBN: 9780078885150

Author: McGraw-Hill

Publisher: Glencoe/McGraw-Hill

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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Question

Chapter 4.2, Problem 40PPS

To determine

The simplified expression

Expert Solution & Answer

Answer to Problem 40PPS

72a+3b

Explanation of Solution

Given:

The given expression is

23(6a+3b)−12(a−2b)

Calculation:

The given expression can be simplified as

=23(6a+3b)−12(a−2b)=23(6a)+23(3b)−12(a)+12(2b)=2(2a)+2(b)−12(a)+1(b)=4a+2b−12a+b=(4−12)a+(2+1)b=8−12a+3b=72a+3b

Chapter 4.2, Problem 39PPS

Chapter 4.2, Problem 41PPS

Chapter 4 Solutions

Pre-Algebra, Student Edition

Ch. 4.1 - Prob. 1ACYP Ch. 4.1 - Prob. 1BCYP Ch. 4.1 - Prob. 2CYP Ch. 4.1 - Prob. 3ACYP Ch. 4.1 - Prob. 3BCYP Ch. 4.1 - Prob. 4ACYP Ch. 4.1 - Prob. 4BCYP Ch. 4.1 - Prob. 1CYU Ch. 4.1 - Prob. 2CYU Ch. 4.1 - Prob. 3CYU

Ch. 4.1 - Prob. 4CYU Ch. 4.1 - Prob. 5CYU Ch. 4.1 - Prob. 6CYU Ch. 4.1 - Prob. 7CYU Ch. 4.1 - Prob. 8CYU Ch. 4.1 - Prob. 9CYU Ch. 4.1 - Prob. 10PPS Ch. 4.1 - Prob. 11PPS Ch. 4.1 - Prob. 12PPS Ch. 4.1 - Prob. 13PPS Ch. 4.1 - Prob. 14PPS Ch. 4.1 - Prob. 15PPS Ch. 4.1 - Prob. 16PPS Ch. 4.1 - Prob. 17PPS Ch. 4.1 - Prob. 18PPS Ch. 4.1 - Prob. 19PPS Ch. 4.1 - Prob. 20PPS Ch. 4.1 - Prob. 21PPS Ch. 4.1 - Prob. 22PPS Ch. 4.1 - Prob. 23PPS Ch. 4.1 - Prob. 24PPS Ch. 4.1 - Prob. 25PPS Ch. 4.1 - Prob. 26PPS Ch. 4.1 - Prob. 27PPS Ch. 4.1 - Prob. 28PPS Ch. 4.1 - Prob. 29PPS Ch. 4.1 - Prob. 30PPS Ch. 4.1 - Prob. 31PPS Ch. 4.1 - Prob. 32PPS Ch. 4.1 - Prob. 33PPS Ch. 4.1 - Prob. 34PPS Ch. 4.1 - Prob. 35PPS Ch. 4.1 - Prob. 36PPS Ch. 4.1 - Prob. 37PPS Ch. 4.1 - Prob. 38PPS Ch. 4.1 - Prob. 39PPS Ch. 4.1 - Prob. 40PPS Ch. 4.1 - Prob. 41PPS Ch. 4.1 - Prob. 42PPS Ch. 4.1 - Prob. 43PPS Ch. 4.1 - Prob. 44PPS Ch. 4.1 - Prob. 45PPS Ch. 4.1 - Prob. 46PPS Ch. 4.1 - Prob. 47PPS Ch. 4.1 - Prob. 48PPS Ch. 4.1 - Prob. 49PPS Ch. 4.1 - Prob. 50PPS Ch. 4.1 - Prob. 51PPS Ch. 4.1 - Prob. 52PPS Ch. 4.1 - Prob. 53PPS Ch. 4.1 - Prob. 54PPS Ch. 4.1 - Prob. 55HP Ch. 4.1 - Prob. 56HP Ch. 4.1 - Prob. 57HP Ch. 4.1 - Prob. 58HP Ch. 4.1 - Prob. 59STP Ch. 4.1 - Prob. 60STP Ch. 4.1 - Prob. 61STP Ch. 4.1 - Prob. 62STP Ch. 4.1 - Prob. 63SR Ch. 4.1 - Prob. 64SR Ch. 4.1 - Prob. 65SR Ch. 4.1 - Prob. 66SR Ch. 4.1 - Prob. 67SR Ch. 4.1 - Prob. 68SR Ch. 4.1 - Prob. 69SR Ch. 4.1 - Prob. 70SR Ch. 4.1 - Prob. 71SR Ch. 4.1 - Prob. 72SR Ch. 4.1 - Prob. 73S Ch. 4.1 - Prob. 74S Ch. 4.1 - Prob. 75S Ch. 4.1 - Prob. 76S Ch. 4.2 - Prob. 1CYP Ch. 4.2 - Prob. 2CYP Ch. 4.2 - Prob. 3ACYP Ch. 4.2 - Prob. 3BCYP Ch. 4.2 - Prob. 3CCYP Ch. 4.2 - Prob. 4CYP Ch. 4.2 - Prob. 1CYU Ch. 4.2 - Prob. 2CYU Ch. 4.2 - Prob. 3CYU Ch. 4.2 - Prob. 4CYU Ch. 4.2 - Prob. 5CYU Ch. 4.2 - Prob. 6CYU Ch. 4.2 - Prob. 7CYU Ch. 4.2 - Prob. 8CYU Ch. 4.2 - Prob. 9CYU Ch. 4.2 - Prob. 10CYU Ch. 4.2 - Prob. 11CYU Ch. 4.2 - Prob. 12CYU Ch. 4.2 - Prob. 13CYU Ch. 4.2 - Prob. 14CYU Ch. 4.2 - Prob. 15PPS Ch. 4.2 - Prob. 16PPS Ch. 4.2 - Prob. 17PPS Ch. 4.2 - Prob. 18PPS Ch. 4.2 - Prob. 19PPS Ch. 4.2 - Prob. 20PPS Ch. 4.2 - Prob. 21PPS Ch. 4.2 - Prob. 22PPS Ch. 4.2 - Prob. 23PPS Ch. 4.2 - Prob. 24PPS Ch. 4.2 - Prob. 25PPS Ch. 4.2 - Prob. 26PPS Ch. 4.2 - Prob. 27PPS Ch. 4.2 - Prob. 28PPS Ch. 4.2 - Prob. 29PPS Ch. 4.2 - Prob. 30PPS Ch. 4.2 - Prob. 31PPS Ch. 4.2 - Prob. 32PPS Ch. 4.2 - Prob. 33PPS Ch. 4.2 - Prob. 34PPS Ch. 4.2 - Prob. 35PPS Ch. 4.2 - Prob. 36PPS Ch. 4.2 - Prob. 37PPS Ch. 4.2 - Prob. 38PPS Ch. 4.2 - Prob. 39PPS Ch. 4.2 - Prob. 40PPS Ch. 4.2 - Prob. 41PPS Ch. 4.2 - Prob. 42PPS Ch. 4.2 - Prob. 43PPS Ch. 4.2 - Prob. 44PPS Ch. 4.2 - Prob. 45PPS Ch. 4.2 - Prob. 46PPS Ch. 4.2 - Prob. 47PPS Ch. 4.2 - Prob. 48PPS Ch. 4.2 - Prob. 49PPS Ch. 4.2 - Prob. 50PPS Ch. 4.2 - Prob. 51PPS Ch. 4.2 - Prob. 52PPS Ch. 4.2 - Prob. 53PPS Ch. 4.2 - Prob. 54HP Ch. 4.2 - Prob. 55HP Ch. 4.2 - Prob. 56HP Ch. 4.2 - Prob. 57HP Ch. 4.2 - Prob. 58HP Ch. 4.2 - Prob. 59HP Ch. 4.2 - Prob. 60STP Ch. 4.2 - Prob. 61STP Ch. 4.2 - Prob. 62STP Ch. 4.2 - Prob. 63STP Ch. 4.2 - Prob. 64SR Ch. 4.2 - Prob. 65SR Ch. 4.2 - Prob. 66SR Ch. 4.2 - Prob. 67SR Ch. 4.2 - Prob. 68SR Ch. 4.2 - Prob. 69SR Ch. 4.2 - Prob. 70SR Ch. 4.2 - Prob. 71SR Ch. 4.2 - Prob. 72SR Ch. 4.2 - Prob. 73SR Ch. 4.2 - Prob. 74SR Ch. 4.2 - Prob. 75SR Ch. 4.2 - Prob. 76SR Ch. 4.2 - Prob. 77SR Ch. 4.2 - Prob. 78S Ch. 4.2 - Prob. 79S Ch. 4.2 - Prob. 80S Ch. 4.3 - Prob. 1ACYP Ch. 4.3 - Prob. 1BCYP Ch. 4.3 - Prob. 2ACYP Ch. 4.3 - Prob. 2BCYP Ch. 4.3 - Prob. 3CYP Ch. 4.3 - Prob. 1CYU Ch. 4.3 - Prob. 2CYU Ch. 4.3 - Prob. 3CYU Ch. 4.3 - Prob. 4CYU Ch. 4.3 - Prob. 5CYU Ch. 4.3 - Prob. 6CYU Ch. 4.3 - Prob. 7CYU Ch. 4.3 - Prob. 8CYU Ch. 4.3 - Prob. 9CYU Ch. 4.3 - Prob. 10CYU Ch. 4.3 - Prob. 11CYU Ch. 4.3 - Prob. 12PPS Ch. 4.3 - Prob. 13PPS Ch. 4.3 - Prob. 14PPS Ch. 4.3 - Prob. 15PPS Ch. 4.3 - Prob. 16PPS Ch. 4.3 - Prob. 17PPS Ch. 4.3 - Prob. 18PPS Ch. 4.3 - Prob. 19PPS Ch. 4.3 - Prob. 20PPS Ch. 4.3 - Prob. 21PPS Ch. 4.3 - Prob. 22PPS Ch. 4.3 - Prob. 23PPS Ch. 4.3 - Prob. 24PPS Ch. 4.3 - Prob. 25PPS Ch. 4.3 - Prob. 26PPS Ch. 4.3 - Prob. 27PPS Ch. 4.3 - Prob. 28PPS Ch. 4.3 - Prob. 29PPS Ch. 4.3 - Prob. 30PPS Ch. 4.3 - Prob. 31PPS Ch. 4.3 - Prob. 32PPS Ch. 4.3 - Prob. 33PPS Ch. 4.3 - Prob. 34PPS Ch. 4.3 - Prob. 35PPS Ch. 4.3 - Prob. 36PPS Ch. 4.3 - Prob. 37PPS Ch. 4.3 - Prob. 38PPS Ch. 4.3 - Prob. 39PPS Ch. 4.3 - Prob. 40PPS Ch. 4.3 - Prob. 41PPS Ch. 4.3 - Prob. 42PPS Ch. 4.3 - Prob. 43HP Ch. 4.3 - Prob. 44HP Ch. 4.3 - Prob. 45HP Ch. 4.3 - Prob. 46HP Ch. 4.3 - Prob. 47HP Ch. 4.3 - Prob. 48STP Ch. 4.3 - Prob. 49STP Ch. 4.3 - Prob. 50STP Ch. 4.3 - Prob. 51STP Ch. 4.3 - Prob. 52SR Ch. 4.3 - Prob. 53SR Ch. 4.3 - Prob. 54SR Ch. 4.3 - Prob. 55SR Ch. 4.3 - Prob. 56SR Ch. 4.3 - Prob. 57SR Ch. 4.3 - Prob. 58SR Ch. 4.3 - Prob. 59SR Ch. 4.3 - Prob. 60S Ch. 4.3 - Prob. 61S Ch. 4.3 - Prob. 62S Ch. 4.3 - Prob. 63S Ch. 4.3 - Prob. 64S Ch. 4.3 - Prob. 65S Ch. 4.4 - Prob. 1ACYP Ch. 4.4 - Prob. 1BCYP Ch. 4.4 - Prob. 2ACYP Ch. 4.4 - Prob. 2BCYP Ch. 4.4 - Prob. 3CYP Ch. 4.4 - Prob. 4ACYP Ch. 4.4 - Prob. 4BCYP Ch. 4.4 - Prob. 5ACYP Ch. 4.4 - Prob. 5BCYP Ch. 4.4 - Prob. 1CYU Ch. 4.4 - Prob. 2CYU Ch. 4.4 - Prob. 3CYU Ch. 4.4 - Prob. 4CYU Ch. 4.4 - Prob. 5CYU Ch. 4.4 - Prob. 6CYU Ch. 4.4 - Prob. 7CYU Ch. 4.4 - Prob. 8CYU Ch. 4.4 - Prob. 9CYU Ch. 4.4 - Prob. 10CYU Ch. 4.4 - Prob. 11CYU Ch. 4.4 - Prob. 12PPS Ch. 4.4 - Prob. 13PPS Ch. 4.4 - Prob. 14PPS Ch. 4.4 - Prob. 15PPS Ch. 4.4 - Prob. 16PPS Ch. 4.4 - Prob. 17PPS Ch. 4.4 - Prob. 18PPS Ch. 4.4 - Prob. 19PPS Ch. 4.4 - Prob. 20PPS Ch. 4.4 - Prob. 21PPS Ch. 4.4 - Prob. 22PPS Ch. 4.4 - Prob. 23PPS Ch. 4.4 - Prob. 24PPS Ch. 4.4 - Prob. 25PPS Ch. 4.4 - Prob. 26PPS Ch. 4.4 - Prob. 27PPS Ch. 4.4 - Prob. 28PPS Ch. 4.4 - Prob. 29PPS Ch. 4.4 - Prob. 30PPS Ch. 4.4 - Prob. 31PPS Ch. 4.4 - Prob. 32PPS Ch. 4.4 - Prob. 33PPS Ch. 4.4 - Prob. 34PPS Ch. 4.4 - Prob. 35PPS Ch. 4.4 - Prob. 36PPS Ch. 4.4 - Prob. 37PPS Ch. 4.4 - Prob. 38PPS Ch. 4.4 - Prob. 39PPS Ch. 4.4 - Prob. 40PPS Ch. 4.4 - Prob. 41PPS Ch. 4.4 - Prob. 42PPS Ch. 4.4 - Prob. 43PPS Ch. 4.4 - Prob. 44HP Ch. 4.4 - Prob. 45HP Ch. 4.4 - Prob. 46HP Ch. 4.4 - Prob. 47HP Ch. 4.4 - Prob. 48HP Ch. 4.4 - Prob. 49HP Ch. 4.4 - Prob. 50STP Ch. 4.4 - Prob. 51STP Ch. 4.4 - Prob. 52STP Ch. 4.4 - Prob. 53STP Ch. 4.4 - Prob. 54SR Ch. 4.4 - Prob. 55SR Ch. 4.4 - Prob. 56SR Ch. 4.4 - Prob. 57SR Ch. 4.4 - Prob. 58SR Ch. 4.4 - Prob. 59SR Ch. 4.4 - Prob. 60SR Ch. 4.4 - Prob. 61SR Ch. 4.4 - Prob. 62SR Ch. 4.4 - Prob. 63SR Ch. 4.4 - Prob. 64SR Ch. 4.4 - Prob. 65SR Ch. 4.4 - Prob. 66SR Ch. 4.4 - Prob. 67SR Ch. 4.4 - Prob. 68SR Ch. 4.4 - Prob. 69SR Ch. 4.4 - Prob. 70SR Ch. 4.4 - Prob. 71S Ch. 4.4 - Prob. 72S Ch. 4.4 - Prob. 73S Ch. 4.4 - Prob. 74S Ch. 4.4 - Prob. 75S Ch. 4.4 - Prob. 76S Ch. 4.5 - Prob. 1ACYP Ch. 4.5 - Prob. 1BCYP Ch. 4.5 - Prob. 2ACYP Ch. 4.5 - Prob. 2BCYP Ch. 4.5 - Prob. 3ACYP Ch. 4.5 - Prob. 3BCYP Ch. 4.5 - Prob. 4ACYP Ch. 4.5 - Prob. 4BCYP Ch. 4.5 - Prob. 5CYP Ch. 4.5 - Prob. 1CYU Ch. 4.5 - Prob. 2CYU Ch. 4.5 - Prob. 3CYU Ch. 4.5 - Prob. 4CYU Ch. 4.5 - Prob. 5CYU Ch. 4.5 - Prob. 6CYU Ch. 4.5 - Prob. 7CYU Ch. 4.5 - Prob. 8CYU Ch. 4.5 - Prob. 9CYU Ch. 4.5 - Prob. 10CYU Ch. 4.5 - Prob. 11CYU Ch. 4.5 - Prob. 12CYU Ch. 4.5 - Prob. 13CYU Ch. 4.5 - Prob. 14PPS Ch. 4.5 - Prob. 15PPS Ch. 4.5 - Prob. 16PPS Ch. 4.5 - Prob. 17PPS Ch. 4.5 - Prob. 18PPS Ch. 4.5 - Prob. 19PPS Ch. 4.5 - Prob. 20PPS Ch. 4.5 - Prob. 21PPS Ch. 4.5 - Prob. 22PPS Ch. 4.5 - Prob. 23PPS Ch. 4.5 - Prob. 24PPS Ch. 4.5 - Prob. 25PPS Ch. 4.5 - Prob. 26PPS Ch. 4.5 - Prob. 27PPS Ch. 4.5 - Prob. 28PPS Ch. 4.5 - Prob. 29PPS Ch. 4.5 - Prob. 30PPS Ch. 4.5 - Prob. 31PPS Ch. 4.5 - Prob. 32PPS Ch. 4.5 - Prob. 33PPS Ch. 4.5 - Prob. 34PPS Ch. 4.5 - Prob. 35PPS Ch. 4.5 - Prob. 36PPS Ch. 4.5 - Prob. 37PPS Ch. 4.5 - Prob. 38PPS Ch. 4.5 - Prob. 39PPS Ch. 4.5 - Prob. 40PPS Ch. 4.5 - Prob. 41PPS Ch. 4.5 - Prob. 42PPS Ch. 4.5 - Prob. 43HP Ch. 4.5 - Prob. 44HP Ch. 4.5 - Prob. 45HP Ch. 4.5 - Prob. 46HP Ch. 4.5 - Prob. 47HP Ch. 4.5 - Prob. 48STP Ch. 4.5 - Prob. 49STP Ch. 4.5 - Prob. 50STP Ch. 4.5 - Prob. 51STP Ch. 4.5 - Prob. 52SR Ch. 4.5 - Prob. 53SR Ch. 4.5 - Prob. 54SR Ch. 4.5 - Prob. 55SR Ch. 4.5 - Prob. 56SR Ch. 4.5 - Prob. 57SR Ch. 4.5 - Prob. 58SR Ch. 4.5 - Prob. 59SR Ch. 4.5 - Prob. 60S Ch. 4.5 - Prob. 61S Ch. 4.5 - Prob. 62S Ch. 4.5 - Prob. 63S Ch. 4.5 - Prob. 64S Ch. 4.5 - Prob. 65S Ch. 4.6 - Prob. 1ACYP Ch. 4.6 - Prob. 1BCYP Ch. 4.6 - Prob. 1CCYP Ch. 4.6 - Prob. 2CYP Ch. 4.6 - Prob. 3CYP Ch. 4.6 - Prob. 1CYU Ch. 4.6 - Prob. 2CYU Ch. 4.6 - Prob. 3CYU Ch. 4.6 - Prob. 4CYU Ch. 4.6 - Prob. 5CYU Ch. 4.6 - Prob. 6CYU Ch. 4.6 - Prob. 7PPS Ch. 4.6 - Prob. 8PPS Ch. 4.6 - Prob. 9PPS Ch. 4.6 - Prob. 10PPS Ch. 4.6 - Prob. 11PPS Ch. 4.6 - Prob. 12PPS Ch. 4.6 - Prob. 13PPS Ch. 4.6 - Prob. 14PPS Ch. 4.6 - Prob. 15PPS Ch. 4.6 - Prob. 16PPS Ch. 4.6 - Prob. 17PPS Ch. 4.6 - Prob. 18PPS Ch. 4.6 - Prob. 19PPS Ch. 4.6 - Prob. 20HP Ch. 4.6 - Prob. 21HP Ch. 4.6 - Prob. 22HP Ch. 4.6 - Prob. 23HP Ch. 4.6 - Prob. 24HP Ch. 4.6 - Prob. 25STP Ch. 4.6 - Prob. 26STP Ch. 4.6 - Prob. 27STP Ch. 4.6 - Prob. 28STP Ch. 4.6 - Prob. 29SR Ch. 4.6 - Prob. 30SR Ch. 4.6 - Prob. 31SR Ch. 4.6 - Prob. 32SR Ch. 4.6 - Prob. 33SR Ch. 4.6 - Prob. 34SR Ch. 4.6 - Prob. 35SR Ch. 4.6 - Prob. 36SR Ch. 4.6 - Prob. 37SR Ch. 4.6 - Prob. 38S Ch. 4.6 - Prob. 39S Ch. 4.6 - Prob. 40S Ch. 4.6 - Prob. 41S Ch. 4 - Prob. 1QC Ch. 4 - Prob. 2QC Ch. 4 - Prob. 3QC Ch. 4 - Prob. 4QC Ch. 4 - Prob. 5QC Ch. 4 - Prob. 6QC Ch. 4 - Prob. 7QC Ch. 4 - Prob. 8QC Ch. 4 - Prob. 9QC Ch. 4 - Prob. 10QC Ch. 4 - Prob. 11QC Ch. 4 - Prob. 12QC Ch. 4 - Prob. 13QC Ch. 4 - Prob. 14QC Ch. 4 - Prob. 15QC Ch. 4 - Prob. 16QC Ch. 4 - Prob. 17QC Ch. 4 - Prob. 18QC Ch. 4 - Prob. 19QC Ch. 4 - Prob. 1MCQ Ch. 4 - Prob. 2MCQ Ch. 4 - Prob. 3MCQ Ch. 4 - Prob. 4MCQ Ch. 4 - Prob. 5MCQ Ch. 4 - Prob. 6MCQ Ch. 4 - Prob. 7MCQ Ch. 4 - Prob. 8MCQ Ch. 4 - Prob. 9MCQ Ch. 4 - Prob. 10MCQ Ch. 4 - Prob. 11MCQ Ch. 4 - Prob. 12MCQ Ch. 4 - Prob. 13MCQ Ch. 4 - Prob. 14MCQ Ch. 4 - Prob. 15MCQ Ch. 4 - Prob. 16MCQ Ch. 4 - Prob. 17MCQ Ch. 4 - Prob. 18MCQ Ch. 4 - Prob. 19MCQ Ch. 4 - Prob. 20MCQ Ch. 4 - Prob. 21MCQ Ch. 4 - Prob. 22MCQ Ch. 4 - Prob. 23MCQ Ch. 4 - Prob. 24MCQ Ch. 4 - Prob. 25MCQ Ch. 4 - Prob. 1SGR Ch. 4 - Prob. 2SGR Ch. 4 - Prob. 3SGR Ch. 4 - Prob. 4SGR Ch. 4 - Prob. 5SGR Ch. 4 - Prob. 6SGR Ch. 4 - Prob. 7SGR Ch. 4 - Prob. 8SGR Ch. 4 - Prob. 9SGR Ch. 4 - Prob. 10SGR Ch. 4 - Prob. 11SGR Ch. 4 - Prob. 12SGR Ch. 4 - Prob. 13SGR Ch. 4 - Prob. 14SGR Ch. 4 - Prob. 15SGR Ch. 4 - Prob. 16SGR Ch. 4 - Prob. 17SGR Ch. 4 - Prob. 18SGR Ch. 4 - Prob. 19SGR Ch. 4 - Prob. 20SGR Ch. 4 - Prob. 21SGR Ch. 4 - Prob. 22SGR Ch. 4 - Prob. 23SGR Ch. 4 - Prob. 24SGR Ch. 4 - Prob. 25SGR Ch. 4 - Prob. 26SGR Ch. 4 - Prob. 27SGR Ch. 4 - Prob. 28SGR Ch. 4 - Prob. 29SGR Ch. 4 - Prob. 30SGR Ch. 4 - Prob. 31SGR Ch. 4 - Prob. 32SGR Ch. 4 - Prob. 33SGR Ch. 4 - Prob. 34SGR Ch. 4 - Prob. 35SGR Ch. 4 - Prob. 36SGR Ch. 4 - Prob. 37SGR Ch. 4 - Prob. 38SGR Ch. 4 - Prob. 39SGR Ch. 4 - Prob. 40SGR Ch. 4 - Prob. 41SGR Ch. 4 - Prob. 42SGR Ch. 4 - Prob. 43SGR Ch. 4 - Prob. 44SGR Ch. 4 - Prob. 45SGR Ch. 4 - Prob. 46SGR Ch. 4 - Prob. 1PT Ch. 4 - Prob. 2PT Ch. 4 - Prob. 3PT Ch. 4 - Prob. 4PT Ch. 4 - Prob. 5PT Ch. 4 - Prob. 6PT Ch. 4 - Prob. 7PT Ch. 4 - Prob. 8PT Ch. 4 - Prob. 9PT Ch. 4 - Prob. 10PT Ch. 4 - Prob. 11PT Ch. 4 - Prob. 12PT Ch. 4 - Prob. 13PT Ch. 4 - Prob. 14PT Ch. 4 - Prob. 15PT Ch. 4 - Prob. 16PT Ch. 4 - Prob. 17PT Ch. 4 - Prob. 18PT Ch. 4 - Prob. 19PT Ch. 4 - Prob. 20PT Ch. 4 - Prob. 21PT Ch. 4 - Prob. 22PT Ch. 4 - Prob. 23PT Ch. 4 - Prob. 24PT Ch. 4 - Prob. 25PT Ch. 4 - Prob. 26PT Ch. 4 - Prob. 27PT Ch. 4 - Prob. 28PT Ch. 4 - Prob. 29PT Ch. 4 - Prob. 30PT Ch. 4 - Prob. 31PT Ch. 4 - Prob. 32PT Ch. 4 - Prob. 33PT Ch. 4 - Prob. 1E Ch. 4 - Prob. 2E Ch. 4 - Prob. 3E Ch. 4 - Prob. 1STP Ch. 4 - Prob. 2STP Ch. 4 - Prob. 3STP Ch. 4 - Prob. 4STP Ch. 4 - Prob. 5STP Ch. 4 - Prob. 6STP Ch. 4 - Prob. 7STP Ch. 4 - Prob. 8STP Ch. 4 - Prob. 9STP Ch. 4 - Prob. 10STP Ch. 4 - Prob. 11STP Ch. 4 - Prob. 12STP Ch. 4 - Prob. 13STP Ch. 4 - Prob. 14STP Ch. 4 - Prob. 15STP

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