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To apply the Associative Property, we need to regroup the terms in the expression \(30m + (21m - 53) + (18 - 2m)\).
First, we can simplify the original expression:
1. Start with the expression:
\[
30m + (21m - 53) + (18 - 2m)
\]
2. We can rearrange and group the terms (using the Associative Property):
\[
(30m + 21m) + (18 - 2m - 53)
\]
3. Now we calculate:
- \(30m + 21m = 51m\)
- Combine \(18 - 53\) first: \(18 - 53 = -35\)
- Then simplify \(-35 - 2m = -2m - 35\)
Combining gives us:
\[
51m + (-2m - 35) = (51m - 2m) - 35 = 49m - 35
\]
Thus, the rearranged and simplified expression according to the Associative Property is:
\[
49m - 35
\]
Looking at the responses provided, the equivalent expression is:
\[
49m - 35
\]