Question
$$-2w+2 = -7w+17$$
Answer
$$ w = 3 $$
Explanation
$$ \begin{aligned} -2w+2 &= -7w+17&& \text{move the $ \color{blue}{ -7w } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]-2w+7w &= 17-2&& \text{simplify left and right hand side} \\[1 em]5w &= 15&& \text{ divide both sides by $ 5 $ } \\[1 em]w &= \frac{15}{5}&& \\[1 em]w &= 3&& \\[1 em] \end{aligned} $$
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