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

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