According to the Associative Property, which expression is equivalent to 30m+(21m−53)+(18−2m) ?(1 point)

To determine which expression is equivalent to \( 30m + (21m - 53) + (18 - 2m) \) using the Associative Property, we can regroup the terms in the expression.

Here’s the original expression:
\[
30m + (21m - 53) + (18 - 2m)
\]

We can first group the \(30m\) and \(21m\) together and then combine \( (18 - 2m) \):
\[
(30m + 21m) + (18 - 2m) - 53
\]

Now we can simplify:
\[
51m + (18 - 2m - 53)
\]

This step shows that we can regroup as needed. However, to directly match the options given:

1. **Option 1: \( (49m - 53) + 16 \)** does not simplify to the original expression.
2. **Option 2: \( 51m + (-53 + 18) - 2m \)** reflects the grouping of \(51m\) and the combination of the constants. However, it simplifies differently.
3. **Option 3: \( 53m - 35 \)** also does not match as it combines terms incorrectly.
4. **Option 4: \( (30m + 21m) + (18 - 2m) \)** is simply a regrouping of the original expression using the Associative Property.

The correct answer, which follows the Associative Property, is:
\[
(30m + 21m) + (18 - 2m)
\]
Thus, the equivalent expression is **Option 4**: \( (30m + 21m) + (18 - 2m) \).