To find an expression equivalent to \(30m + (21m - 53) + (18 - 2m)\) using the Associative Property, we can rearrange and group the terms without changing their sums.
Starting with the expression:
\[ 30m + (21m - 53) + (18 - 2m) \]
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We can rearrange it by grouping the \(m\) terms and the constants: \[ (30m + 21m - 2m) + (-53 + 18) \]
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Now, let's simplify the terms:
- For the \(m\) terms: \[ 30m + 21m - 2m = 30m + 21m = 51m \quad \text{and then} \quad 51m - 2m = 49m \]
- For the constant terms: \[ -53 + 18 = -35 \]
Thus, we have: \[ 49m - 35 \]
So, the equivalent expression is: \[ (49m - 53) + 16 \]
In summary, the equivalent expression is: \[ (49m - 53) + 16 \]
Therefore, the answer is: \((49m - 53) + 16\)
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