Chapter 8.2, Problem 14CYU

To determine

To solve: The equation $-2\left(w+1\right)+w=7-4w$

Answer to Problem 14CYU

  $w=-1$

Explanation of Solution

Given:

  $-2\left(w+1\right)+w=7-4w$

Calculation:

The given equation is $-2\left(w+1\right)+w=7-4w$

Eliminate the parenthesis

  $-2w-2+w=7-4w$

Simplify the equation

  $\begin{array}{c}-2w+w-4w=7-2\\ -5w=5\\ w=\frac{5}{-5}\\ w=-1\end{array}$