Question

Simplify the algebraic expression.

-7(2r + 6) + 4(6r + 5)
Group of answer choices

10r + 6

-5r - 1

10r - 22

-56r
If you can show steps, it'd greatly help my understanding!

Answer 1

Answer: 10r - 22

Explanation: You distribute (multiply) the 7 and 4 in the parentheses:
-7 • 2r and -7 • 6 = -14r - 42
4 • 6r and 4 • 5 = 24r + 20

After you distribute, you have to add the variable terms and the constant terms!
Your variable terms are -14r and 24r, the sum of both of them is 10r. Your constant terms are -42 and 20. Add the constant terms and you get -22.

Your simplified expression is now:
10r-22

Hope this helped!