$$ \begin{aligned} 10-8m &= 10+5m&& \text{move the $ \color{blue}{ 5m } $ to the left side and $ \color{blue}{ 10 }$ to the right} \\[1 em]-8m-5m &= 10-10&& \text{simplify left and right hand side} \\[1 em]-13m &= 0&& \text{ divide both sides by $ -13 $ } \\[1 em]m &= \frac{0}{-13}&& \\[1 em]m &= 0&& \\[1 em] \end{aligned} $$
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