Question According to the Associative Property, which expression is equivalent to 30m+(21m−53)+(18−2m) ?(1 point) Responses (49m−53)+16 left parenthesis 49 m minus 53 right parenthesis plus 16 51m+(−53+18)−2m 51 m plus left parenthesis negative 53 plus 18 right parenthesis minus 2 m (30m+21m)+(18−2m) left parenthesis 30 m plus 21 m right parenthesis plus left parenthesis 18 minus 2 m right parenthesis 53m−35

To determine which expression is equivalent to \(30m + (21m - 53) + (18 - 2m)\) using the Associative Property, we can rearrange the terms and group them differently.

First, let's simplify the original expression step by step:

1. Start with the original expression:
\[
30m + (21m - 53) + (18 - 2m)
\]

2. Remove the parentheses:
\[
30m + 21m - 53 + 18 - 2m
\]

3. Combine like terms:
- Combine the \(m\) terms: \(30m + 21m - 2m = 49m\)
- Combine the constant terms: \(-53 + 18 = -35\)

Thus, we have:
\[
49m - 35
\]

Now, we can examine the response options to find the one that matches \(49m - 35\).

The option that corresponds to this result is:
**53m - 35** (as that does not match).
**(49m - 53) + 16** would imply further adjustment is needed since \(49m - 53\) does not match.
**(30m + 21m) + (18 - 2m)** matches as it shows the grouping of \(30m\) and \(21m\) plus the last term.
**51m + (-53 + 18) - 2m** leads to a discrepancy in \(m\) terms.

Therefore, the correct equivalent expression using the Associative Property is:
\[
(30m + 21m) + (18 - 2m)
\]

Thus, the correct answer is:
**(30 m + 21 m) + (18 - 2 m)**.