$$ \begin{aligned} 3p+1 &= -p+5&& \text{move the $ \color{blue}{ -p } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]3p+p &= 5-1&& \text{simplify left and right hand side} \\[1 em]4p &= 4&& \text{ divide both sides by $ 4 $ } \\[1 em]p &= \frac{4}{4}&& \\[1 em]p &= 1&& \\[1 em] \end{aligned} $$
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