Question

Associative property expression equivalent to 30m + ( 21 m - 53)+ (18 - 2 m)

Answer 1

To simplify the expression \( 30m + (21m - 53) + (18 - 2m) \) using the associative property, we will first simplify it step by step.

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

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

3. Now, combine the like terms (the \( m \) terms and the constant terms):
- Combine the \( m \) terms:
\[
30m + 21m - 2m = (30 + 21 - 2)m = 49m
\]

- Combine the constant terms:
\[
-53 + 18 = -35
\]

Putting it all together, we find:
\[
49m - 35
\]

Thus, an expression equivalent to the original expression \( 30m + (21m - 53) + (18 - 2m) \) is:
\[
49m - 35
\]