Chapter 4, Problem 45SGR

To determine

To translate: the given sentence into an equation.

Answer to Problem 45SGR

The required equation is $2n-6=-22$

The required number is $n=-8$ .

Explanation of Solution

Given:

Six less than twice a number is $-22$ .

Calculation:

The objective of the problem is to the number after translating sentence into equation.

Let n be the number.

Also, let $2n-6=$ six less twice the number.

The required equation,

  $\begin{array}{l}2n-6=-22\\ 2n=-22+6\\ 2n=-16\\ n=\frac{-16}{2}\\ n=-8\end{array}$

Hence, the required number is $n=-8$ .

Conclusion:

Hence, the required number is $n=-8$ .