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

The Associative Property states that when adding or multiplying numbers, the way in which they are grouped does not change the result. This property can be used to rearrange the expression without changing its value.

Let's simplify the given expression step-by-step:

The original expression is:

\[ 30m + (21m - 53) + (18 - 2m) \]

Step 1: Remove the parentheses since addition is associative.

\[ 30m + 21m - 53 + 18 - 2m \]

Step 2: Combine like terms.

First, add the coefficients of \( m \):
- \( 30m + 21m - 2m = (30 + 21 - 2)m = 49m \)

Next, combine the constant terms:
- \( -53 + 18 = -35 \)

Putting it all together, we get:

\[ 49m - 35 \]

So, the expression equivalent to \( 30m + (21m - 53) + (18 - 2m) \) is:

\[ 49m - 35 \]

If this matches one of the response options you have, that would be the correct choice.