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Answer :
Final answer:
The expressions equivalent to -3/4( 32 - 4f) are 3f - 24, -24 + 3f, and 3(-8 +f), as they all simplify to the same value.
Explanation:
The expressions equivalent to -3/4( 32 - 4f) are obtained by simplifying the given expression. Firstly, distribute -3/4 within the parentheses which yields -24 + 3f.
Now, compare this simplified expression to the options given:
- 24 - 3f is not equivalent because the signs are opposite.
- 3f - 24 is equivalent because it's merely a rearrangement of terms.
- -24 + 3f is equivalent because it's exactly the same.
- 8 - f is not equivalent.
- 3(-8 +f) is equivalent because, when simplified, it gives -24 + 3f.
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