$$ \begin{aligned} -\frac{p}{3}+6 &= 3&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]-3 \cdot \frac{p}{3}+3\cdot6 &= 3\cdot3&& \text{cancel out the denominators} \\[1 em]-p+18 &= 9&& \text{ move 18 to the right } \\[1 em]-p &= 9-18&& \\[1 em]-p &= -9&& \text{switch signs on both sides} \\[1 em]p &= 9&& \\[1 em] \end{aligned} $$
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