$$ \begin{aligned} \frac{5}{6} &= p-\frac{4}{3}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot\frac{5}{6} &= 6p-6\cdot\frac{4}{3}&& \text{cancel out the denominators} \\[1 em]5 &= 6p-8&& \text{ swap the left and right side of the equation } \\[1 em]6p-8 &= 5&& \text{ move -8 to the right } \\[1 em]6p &= 5+8&& \\[1 em]6p &= 13&& \text{ divide both sides by $ 6 $ } \\[1 em]p &= \frac{13}{6}&& \\[1 em] \end{aligned} $$
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