–8(–7r – 7) + 8 =-272​

Mathematics · Middle School · Mon Jan 18 2021

Answered on

Given the numerical equation:

–8(–7r – 7) + 8 =-272​

Solve for r.

Solution:

In order to solve for r, we simply need to distribute -8 to each value inside the parenthesis, and then combine like terms.

–8(–7r – 7) + 8 =-272​

56r +56 + 8 = -272

56y + 64 = -272

Transpose 64 to the other side of the equation, hence it must be taken to note that in transposing numbers, the sign changes.

56y = -272 - 64

56y = -336

Divide both sides by 56, in order to cancel out 56y, leaving behind y.

56y/56 = -336/56

y = -6

Final answer:

y = -6