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