How do you solve -2(w + 1) + w = 7 - 4w?

Feb 26, 2016

$w = 3$

Explanation:

$- 2 \left(w + 1\right) + w = 7 - 4 w$

$\textcolor{b l u e}{\left(- 2\right)} \times w + \textcolor{b l u e}{\left(- 2\right)} \times 1 + w = 7 - 4 w$

$- 2 w - 2 + w = 7 - 4 w$

$- 2 w + w - 2 = 7 - 4 w$

$- w - 2 = 7 - 4 w$

$- w + 4 w = 7 + 2$

$3 w = 9$

$w = \frac{9}{3}$

$w = 3$