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

A. (30m+21m)+(18−2m)

B. 51m+(−53+18)−2m

C. 53m−35

D. (49m−53)+16

1 answer

The Associative Property states that the grouping of numbers does not affect the sum.

Applying the Associative Property to the given expression, 30m+(21m−53)+(18−2m), we can rearrange the terms to group the like terms together.

30m + (21m - 2m) + (-53 + 18)

Simplifying the grouped terms:

30m + 19m + (-35)

Combining the like terms:

(30m + 19m) - 35

Adding the terms within the parentheses:

49m - 35

Therefore, the expression equivalent to 30m+(21m−53)+(18−2m) is (49m - 35). The correct answer is D.