$$ \begin{aligned} \frac{2}{3}p+6 &= \frac{7}{6}p&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{2}{3}p+6\cdot6 &= 6 \cdot \frac{7}{6}p&& \text{cancel out the denominators} \\[1 em]4p+36 &= 7p&& \text{move the $ \color{blue}{ 7p } $ to the left side and $ \color{blue}{ 36 }$ to the right} \\[1 em]4p-7p &= -36&& \text{simplify left side} \\[1 em]-3p &= -36&& \text{ divide both sides by $ -3 $ } \\[1 em]p &= \frac{-36}{-3}&& \\[1 em]p &= 12&& \\[1 em] \end{aligned} $$

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