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