$$ \begin{aligned} q &= \frac{15}{4}-\frac{1}{16}q&& \text{multiply ALL terms by } \color{blue}{ 16 }. \\[1 em]16q &= 16\cdot\frac{15}{4}-16\frac{1}{16}q&& \text{cancel out the denominators} \\[1 em]16q &= 60-q&& \text{move the $ \color{blue}{ -q } $ to the left side} \\[1 em]16q+q &= 60&& \text{simplify left side} \\[1 em]17q &= 60&& \text{ divide both sides by $ 17 $ } \\[1 em]q &= \frac{60}{17}&& \\[1 em] \end{aligned} $$

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