$$ \begin{aligned} \frac{q-315}{29} &= 42&& \text{multiply ALL terms by } \color{blue}{ 29 }. \\[1 em]29 \cdot \frac{q-315}{29} &= 29\cdot42&& \text{cancel out the denominators} \\[1 em]q-315 &= 1218&& \text{ move -315 to the right } \\[1 em]q &= 1218+315&& \\[1 em]q &= 1533&& \\[1 em]q &= 1533&& \\[1 em] \end{aligned} $$
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