$$ \begin{aligned} \frac{5}{8}n-4-\frac{1}{4}n &= 0&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8 \cdot \frac{5}{8}n-8\cdot4-8\frac{1}{4}n &= 8\cdot0&& \text{cancel out the denominators} \\[1 em]5n-32-2n &= 0&& \text{simplify left side} \\[1 em]3n-32 &= 0&& \text{ move the constants to the right } \\[1 em]3n &= 32&& \text{ divide both sides by $ 3 $ } \\[1 em]n &= \frac{32}{3}&& \\[1 em] \end{aligned} $$

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