To find an expression equivalent to \(30m + (21m - 53) + (18 - 2m)\) using the Associative Property, we need to group the terms appropriately.
The Associative Property allows us to group terms in different ways without changing the result. Here, we can group the terms as follows:
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First, we can combine like terms:
- Start with \(30m + 21m + (-2m) + (-53) + 18\)
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Combine \(30m\), \(21m\), and \(-2m\): \[ 30m + 21m - 2m = (30 + 21 - 2)m = 49m \]
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Now add \(-53\) and \(18\): \[ -53 + 18 = -35 \]
So, we have: \[ 49m - 35 \]
From the options given, the correct equivalent expression is: \[ (49m - 53) + 16 \]
This matches the form \(49m - 35\) as \(49m - 53 + 16 = 49m - 35\).
So the correct answer is: \((49m - 53) + 16\)