To apply the Commutative Property and simplify the expression \(8 + 9f - 2 + 6f - 8f - 4 + 12\), we can first rearrange the terms (using the Commutative Property), and then combine like terms.
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Start with the expression: \[ 8 + 9f - 2 + 6f - 8f - 4 + 12 \]
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Rearranging the expression: \[ (8 - 2 - 4 + 12) + (9f + 6f - 8f) \]
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Combine the constant terms: \[ 8 - 2 = 6 \] \[ 6 - 4 = 2 \] \[ 2 + 12 = 14 \]
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Combine the \(f\) terms: \[ 9f + 6f = 15f \] \[ 15f - 8f = 7f \]
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Putting it all together: \[ 14 + 7f \]
Thus, the equivalent expression is \(14 + 7f\).
The correct response from your options is: 14 + 7f.