$$ \begin{aligned} -\frac{m}{8}+7 &= 5&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]-8 \cdot \frac{m}{8}+8\cdot7 &= 8\cdot5&& \text{cancel out the denominators} \\[1 em]-m+56 &= 40&& \text{ move 56 to the right } \\[1 em]-m &= 40-56&& \\[1 em]-m &= -16&& \text{switch signs on both sides} \\[1 em]m &= 16&& \\[1 em] \end{aligned} $$

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