Question
$$7m+32 = 12-m$$
Answer
$$ m = -\dfrac{5}{2} $$
Explanation
$$ \begin{aligned} 7m+32 &= 12-m&& \text{move the $ \color{blue}{ -m } $ to the left side and $ \color{blue}{ 32 }$ to the right} \\[1 em]7m+m &= 12-32&& \text{simplify left and right hand side} \\[1 em]8m &= -20&& \text{ divide both sides by $ 8 $ } \\[1 em]m &= -\frac{20}{8}&& \\[1 em]m &= -\frac{5}{2}&& \\[1 em] \end{aligned} $$
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