use the distributive property to combine like terms and simplify the expression -5(c+d)+7c-2d

Answer 1

To simplify the expression -5(c+d)+7c-2d using the distributive property, we can first distribute the -5 to both terms inside the parentheses:

-5(c+d) = -5c - 5d

Now we can rewrite the expression with the simplified terms:

-5(c+d) + 7c - 2d = -5c - 5d + 7c - 2d

Next, we can combine like terms by combining the coefficients of the same variables:

-5c + 7c = 2c

-5d - 2d = -7d

The simplified expression becomes:

2c - 7d