$$ \begin{aligned} 8p+2 &= 5p-13&& \text{move the $ \color{blue}{ 5p } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]8p-5p &= -13-2&& \text{simplify left and right hand side} \\[1 em]3p &= -15&& \text{ divide both sides by $ 3 $ } \\[1 em]p &= -\frac{15}{3}&& \\[1 em]p &= -5&& \\[1 em] \end{aligned} $$
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