To solve the inequality \( 5(p - 3) \leq 30 \), follow these steps:
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Distribute the 5:
\[ 5p - 15 \leq 30 \]
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Add 15 to both sides:
\[ 5p \leq 30 + 15 \]
\[ 5p \leq 45 \]
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Divide both sides by 5:
\[ p \leq \frac{45}{5} \]
\[ p \leq 9 \]
The solution to the inequality is
\[ p \leq 9 \]