To find the expression equivalent to \( 30m + (21m - 53) + (18 - 2m) \) using the Associative Property, let's first simplify the expression step by step.
1. Start by removing the parentheses:
\[
30m + 21m - 53 + 18 - 2m
\]
2. Combine like terms:
- Combine the \(m\) terms: \(30m + 21m - 2m = 49m\)
- Combine the constant terms: \(-53 + 18 = -35\)
So, the combined expression becomes:
\[
49m - 35
\]
Now, among the given options, we are looking for an expression equivalent to \(49m - 35\).
The correct equivalent expression is:
\[
53m - 35
\]
is incorrect because it exceeds the m term count.
The correct answer based on our simplification process is:
\[
(49m - 53) + 16
\]
In summary, the expression you have that is equivalent to \( 30m + (21m - 53) + (18 - 2m) \) is:
- \( (49m - 53) + 16 \)