Question

Simplify the following expression: 3(r+5) - 4r.

A. -r + 15
B. -r + 3
C. -r + 12
D. 2r + 15

Answer 1

To simplify the expression 3(r+5) - 4r, apply the distributive property and combine like terms to get -r + 15.

Step-by-step explanation:

To simplify the expression 3(r+5) - 4r, apply the distributive property to distribute the 3 across the terms inside the parentheses:

3(r+5) - 4r = 3r + 15 - 4r

Combine like terms by combining the r terms and the constant terms:

(3r - 4r) + 15 = -1r + 15 = -r + 15

Therefore, the simplified expression is -r + 15, which is option A.