To solve the equation \( 17p + 4 = 55 \), follow these steps:
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Subtract 4 from both sides: \[ 17p + 4 - 4 = 55 - 4 \] This simplifies to: \[ 17p = 51 \]
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Divide both sides by 17: \[ p = \frac{51}{17} \]
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Simplify the fraction: Since \( 51 \div 17 = 3 \), we find that: \[ p = 3 \]
Thus, the value of \( p \) is \( \boxed{3} \).