$$ \begin{aligned} \frac{7}{4}q-2 &= -5&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{7}{4}q-4\cdot2 &= 4\cdot(-5)&& \text{cancel out the denominators} \\[1 em]7q-8 &= -20&& \text{ move -8 to the right } \\[1 em]7q &= -20+8&& \\[1 em]7q &= -12&& \text{ divide both sides by $ 7 $ } \\[1 em]q &= -\frac{12}{7}&& \\[1 em] \end{aligned} $$

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