$$ \begin{aligned} 2 \cdot \frac{p}{3} &= \frac{p+11}{2}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot2 \cdot \frac{p}{3} &= 6 \cdot \frac{p+11}{2}&& \text{cancel out the denominators} \\[1 em]4p &= 3p+33&& \text{move the $ \color{blue}{ 3p } $ to the left side} \\[1 em]4p-3p &= 33&& \text{simplify left side} \\[1 em]p &= 33&& \\[1 em]p &= 33&& \\[1 em] \end{aligned} $$

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