Question

-8r-3(-6-5r)=8-5(4-2r) show work pleaseeeee

Answer 1

`r=-2`

Explanation:

First, apply the distributive property: A(B + C) = AB + AC

`-8r-3(-6-5r)=8-5(4-2r)`

`-8r+18+15r=8-20+10r`

Then, get all of the r's on one side.

`-8r+18+15r=8-20+10r`

↓ subtract 18 from both sides

`-8r+15r=8-2+10r`

↓ subtract 10r from both sides

`-8r+5r=8-2`

Finally, solve for r by combining like terms, then dividing by -3.

`-3r = \ 6\\\overline{\, -3 \: } \ \ \ \ \overline{-3}`

`r = -2`