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Write an equivalent expression without parentheses. Then simplify the result.

5m−​(7+3​m)
Which expression is equivalent to 5m−​(7+3​m)?
A.
5m+7−3m
B.
5m−7+3m
C.
5m+7+3m
D.
5m−7−3m

1 Answer

3 votes

Final answer:

D. 5m - 7 - 3m. To remove parentheses in the expression 5m − (7 + 3m), we apply the distributive property. The minus sign before the parentheses reverses the sign of each term inside, resulting in 5m - 7 - 3m. The expression simplifies to 2m - 7.

Step-by-step explanation:

When dealing with expressions that have parentheses, we need to apply the distributive property to remove the parentheses. In this instance, the expression 5m − (7 + 3m) is given. To remove the parentheses, we distribute the minus sign across the terms inside the parentheses, changing the signs of each term within accordingly.



The equivalent expression without parentheses is thus 5m - 7 - 3m. Now, to simplify the result, we combine like terms. The like terms here are the terms with the variable m. Combining 5m and -3m gives us 2m, so we're left with 2m - 7 as the simplified expression.



Therefore, the correct choice is:

D. 5m - 7 - 3m

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