Question
$$p-4 = 9+p$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} p-4 &= 9+p&& \text{move the $ \color{blue}{ p } $ to the left side and $ \color{blue}{ -4 }$ to the right} \\[1 em]p-p &= 9+4&& \text{simplify left and right hand side} \\[1 em]p-p &= 13&& \\[1 em]0 &= 13&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = 13 } $ is FALSE, we conclude that the equation has no solution.
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