To solve the equation \( 7n + 2 = 4n + 17 \), you can follow these steps:
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Subtract \( 4n \) from both sides: \[ 7n - 4n + 2 = 17 \] Simplifying gives: \[ 3n + 2 = 17 \]
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Subtract 2 from both sides: \[ 3n = 17 - 2 \] Simplifying gives: \[ 3n = 15 \]
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Divide both sides by 3: \[ n = \frac{15}{3} \] Simplifying gives: \[ n = 5 \]
So, the solution is \( n = 5 \).