To find the expression equivalent to \( 54 - 6v \), let's factor out the 6 from the expression:
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Start with the original expression: \[ 54 - 6v \]
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Factor out 6: \[ 54 - 6v = 6(9 - v) \]
Now that we have identified the equivalent expression, we can compare it with the provided options:
A. \( 6(9 + v) \)
B. \( 6(-9 - v) \)
C. \( 6(9 - v) \)
D. \( 6(v - 9) \)
The correct option, which is equivalent to \( 54 - 6v \), is:
C. \( 6(9 - v) \).