$$ \begin{aligned} \frac{n}{8}+\frac{9}{8} &= 0&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8 \cdot \frac{n}{8}+8\cdot\frac{9}{8} &= 8\cdot0&& \text{cancel out the denominators} \\[1 em]n+9 &= 0&& \text{ move the constants to the right } \\[1 em]n &= -9&& \\[1 em]n &= -9&& \\[1 em] \end{aligned} $$
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