$$ \begin{aligned} 30+6p &= 7(p+6)-5&& \text{simplify left and right hand side} \\[1 em]6p+30 &= 7p+42-5&& \\[1 em]6p+30 &= 7p+37&& \text{move the $ \color{blue}{ 7p } $ to the left side and $ \color{blue}{ 30 }$ to the right} \\[1 em]6p-7p &= 37-30&& \text{simplify left and right hand side} \\[1 em]-p &= 7&& \text{switch signs on both sides} \\[1 em]p &= -7&& \\[1 em] \end{aligned} $$

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