$$ \begin{aligned} \frac{m}{5}+9-11 &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{m}{5}+5\cdot9-5\cdot11 &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]m+45-55 &= 0&& \text{simplify left side} \\[1 em]m-10 &= 0&& \text{ move the constants to the right } \\[1 em]m &= 10&& \\[1 em]m &= 10&& \\[1 em] \end{aligned} $$

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