$$ \begin{aligned} m+3 &= 9m-13&& \text{move the $ \color{blue}{ 9m } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]m-9m &= -13-3&& \text{simplify left and right hand side} \\[1 em]-8m &= -16&& \text{ divide both sides by $ -8 $ } \\[1 em]m &= \frac{-16}{-8}&& \\[1 em]m &= 2&& \\[1 em] \end{aligned} $$
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