$$ \begin{aligned} -6+6m &= 3m+m&& \text{simplify left and right hand side} \\[1 em]6m-6 &= 4m&& \text{move the $ \color{blue}{ 4m } $ to the left side and $ \color{blue}{ -6 }$ to the right} \\[1 em]6m-4m &= 6&& \text{simplify left side} \\[1 em]2m &= 6&& \text{ divide both sides by $ 2 $ } \\[1 em]m &= \frac{6}{2}&& \\[1 em]m &= 3&& \\[1 em] \end{aligned} $$

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