Question
$$3p+9 = 3p+8$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 3p+9 &= 3p+8&& \text{move the $ \color{blue}{ 3p } $ to the left side and $ \color{blue}{ 9 }$ to the right} \\[1 em]3p-3p &= 8-9&& \text{simplify left and right hand side} \\[1 em]3p-3p &= -1&& \\[1 em]0 &= -1&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = -1 } $ is FALSE, we conclude that the equation has no solution.
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