$$ \begin{aligned} 6m-9-2+2m &= m+10&& \text{simplify left side} \\[1 em]8m-11 &= m+10&& \text{move the $ \color{blue}{ m } $ to the left side and $ \color{blue}{ -11 }$ to the right} \\[1 em]8m-m &= 10+11&& \text{simplify left and right hand side} \\[1 em]7m &= 21&& \text{ divide both sides by $ 7 $ } \\[1 em]m &= \frac{21}{7}&& \\[1 em]m &= 3&& \\[1 em] \end{aligned} $$
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