To factor the expression \(24n - 32\) using the greatest common factor (GCF), follow these steps:
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Find the GCF of the coefficients: The coefficients are 24 and 32. The GCF of 24 and 32 is 8.
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Factor out the GCF: Divide each term by the GCF (8):
- \(24n \div 8 = 3n\)
- \(32 \div 8 = 4\)
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Write the factored expression: \[ 24n - 32 = 8(3n - 4) \]
So, the factored form of \(24n - 32\) is \(8(3n - 4)\).