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Rewrite in simplest terms: -10(-3m-10)-3(-8m+3)−10(−3m−10)−3(−8m+3)

1 Answer

9 votes

Answer:

108m + 182

Explanation:

The first step is to apply the distributive property to each set of parentheses by multiplying each term inside the parentheses by the number that is directly outside of it. Be sure to pay attention to the negative signs.

-10(-3m-10)-3(-8m+3)−10(−3m−10)−3(−8m+3)

30m + 100 + 24m - 9 + 30m + 100 + 24m -9

Following that, we can rearrange the terms in the expression by grouping together terms based on if they do or do not have m.

30m + 24m + 30m + 24m + 100 - 9 + 100 - 9

From there, we can then combine like terms, basically meaning to add or subtract the numbers based on their grouping.

108m + 182

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