-(-6r + 8) − 6 = 6(r – 5)

Question

asked Aug 20, 2023 159k views

1 Answer

Asdjfiasd · Answer 1 · 2023-08-25T23:53:29+0000

Hi, there.

______

First off, distribute - through the parenthesis:

$\boldsymbol{-(-6r+8)=6r-8}$

Replace
$\boldsymbol{-(-6r+8)}$ with
$\boldsymbol{6r-8}$ :

$\boldsymbol{6r-8-6=6(r-5)}$

Combine like terms:

$\boldsymbol{6r-14=6(r-5)}$

Distribute 6 through the parenthesis:

$\boldsymbol{6(r-5)=6r-30}$

Make the replacement:

$\boldsymbol{6r-14=6r-30}$

Subtract 6r from both sides:

$\boldsymbol{6r-6r-14=6r-6r-30}$

$\boldsymbol{-14=30}$

Uh-oh!

Actually,

$\boldsymbol{-14\\eq-30}$

Answer:

$\boldsymbol{No \ solution}$

Hope the answer - and explanation - made sense,

happy studying!!