$$ \begin{aligned} -\frac{2}{9}m+12 &= -8&& \text{multiply ALL terms by } \color{blue}{ 9 }. \\[1 em]-9 \cdot \frac{2}{9}m+9\cdot12 &= 9\cdot(-8)&& \text{cancel out the denominators} \\[1 em]-2m+108 &= -72&& \text{ move 108 to the right } \\[1 em]-2m &= -72-108&& \\[1 em]-2m &= -180&& \text{ divide both sides by $ -2 $ } \\[1 em]m &= \frac{-180}{-2}&& \\[1 em]m &= 90&& \\[1 em] \end{aligned} $$

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