Chapter 0.5, Problem 33E

To determine

To solve the equation $-8a-11=37$

Answer to Problem 33E

  $a=-6$

Explanation of Solution

Given Information: $-8a-11=37$

Formula Used : Linear equations with one variable

Calculation:

Given equation is

  $-8a-11=37$

To isolate the variable a, adding 11 both sides-

  $-8a-11+11=37+11$

This gives-

  $-8a=48$

To isolate the variable a, divide by -8 both side-

  $\frac{-8a}{-8}=\frac{48}{-8}$

This gives-

  $a=\frac{48}{-8}$

To simplify further, writing 48 as its factors-

  $a=\frac{3\times 2\times 8}{-8}$

This gives-

  $a=-3\times 2$

Hence the final answer is-

  $a=-6$