$$ \begin{aligned} p+\frac{13}{4} &= \frac{5}{36}-\frac{4}{3}p&& \text{multiply ALL terms by } \color{blue}{ 36 }. \\[1 em]36p+36\cdot\frac{13}{4} &= 36\cdot\frac{5}{36}-36\frac{4}{3}p&& \text{cancel out the denominators} \\[1 em]36p+117 &= 5-48p&& \text{move the $ \color{blue}{ -48p } $ to the left side and $ \color{blue}{ 117 }$ to the right} \\[1 em]36p+48p &= 5-117&& \text{simplify left and right hand side} \\[1 em]84p &= -112&& \text{ divide both sides by $ 84 $ } \\[1 em]p &= -\frac{112}{84}&& \\[1 em]p &= -\frac{4}{3}&& \\[1 em] \end{aligned} $$

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