$$ \begin{aligned} 3m+6 &= 8m+36&& \text{move the $ \color{blue}{ 8m } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]3m-8m &= 36-6&& \text{simplify left and right hand side} \\[1 em]-5m &= 30&& \text{ divide both sides by $ -5 $ } \\[1 em]m &= -\frac{30}{5}&& \\[1 em]m &= -6&& \\[1 em] \end{aligned} $$
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