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Which expression is equivalent to 1/4m + 3/4m - (m + 1)?

a. m + 3
b. 3m
c. 3/8m
d. m - 1

1 Answer

7 votes

Final answer:

To simplify the expression 1/4m + 3/4m - (m + 1), combine like terms and distribute the negative sign. The answer is d. m - 1.

Step-by-step explanation:

To simplify the expression 1/4m + 3/4m - (m + 1), we need to combine like terms and perform the arithmetic operations in the correct order.

First, we can simplify the terms with the variables. 1/4m + 3/4m is equal to (1/4 + 3/4)m, which is (4/4)m or just 1m.

Next, we distribute the negative sign to (m + 1) to get -m - 1.

Finally, we combine the simplified terms 1m and -m to get 1m - m, which simplifies to just m. And we also subtract 1, so the expression is equivalent to m - 1.

Therefore, the answer is d. m - 1.

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