According to the Associative Property, which expression is equivalent to 30m+(21m−53)+(18−2m)?(1 point)
Responses
53m−35
53 m minus 35
(49m−53)+16
left parenthesis 49 m minus 53 right parenthesis plus 16
(30m+21m)+(18−2m)
left parenthesis 30 m plus 21 m right parenthesis plus left parenthesis 18 minus 2 m right parenthesis
51m+(−53+18)−2m
51m + (-53 + 18) - 2m
To determine which expression is equivalent to 30m + (21m - 53) + (18 - 2m) using the Associative Property, you need to group like terms together.
The expression can be simplified step-by-step:
1. Distribute the negative sign (-) in the second parentheses:
30m + 21m - 53 + 18 - 2m
2. Combine like terms (m terms and constant terms):
(30m + 21m - 2m) + (-53 + 18)
Simplifying further:
49m + (-35)
3. Rearrange the expression to group like terms together:
49m - 35
Therefore, the expression equivalent to 30m + (21m - 53) + (18 - 2m) is 49m - 35.