According to the Associative Property, Which expression is equivalent to 30m+(21m-53)+(18-2m)

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

We start with the expression:
\[
30m + (21m - 53) + (18 - 2m)
\]

Using the Associative Property of addition, we can rearrange the terms:
\[
(30m + 21m + (18 - 2m)) - 53
\]

Now, let's break it down:
1. Combine the \(m\) terms:
\[
30m + 21m - 2m = 49m
\]
2. Then add the constants:
\[
18 - 53 = -35
\]
So we get:
\[
49m - 35
\]

Defining the options:
- A: \((49m - 53) + 16\)
- B: \(53m - 35\)
- C: \(51m + (-53 + 18) - 2m\)
- D: \((30m + 21m + (18 - 2m))\)

Now comparing our derived expression \(49m - 35\) with the options:
- Option A evaluates to \(49m - 53 + 16 = 49m - 37\) (not equivalent)
- Option B gives \(53m - 35\) (not equivalent)
- Option C simplifies to \(51m - 35 - 2m = 49m - 35\) (equivalent)
- Option D is just a regrouping of the original expression and does not provide a single simplified equivalent expression.

Thus, the answer is:
**C: \(51m + (-53 + 18) - 2m\)**, since it simplifies to \(49m - 35\).