Respuesta :

Answer:

r = -3

Step-by-step explanation:

-8-6(r+4)=-8r-38 distribute -6 into the parentheses

-8-6r-24=-8r-38 simplify

-6r-32=-8r-38 add 8r to both sides

2r-32=-38 add 32 to both sides

2r=-6 divide both sides by 2

r = -3

Answer:

[tex]r=-3[/tex]

Step-by-step explanation:

Alright.

[tex]-8-6(r+4)=-8r-38[/tex]

First, we'll distribute that [tex]-6[/tex].

[tex]-8-6r-24=-8r-38[/tex]

Next, I'm going to move the [tex]-8r[/tex] to the other side.

[tex]-8-6r-24+8r=-38[/tex]

That means the sign changes. Now, I'll combine like terms on the left.

[tex]2r-32=-38[/tex]

Now, I'll move the [tex]-32[/tex] over to the right.

[tex]2r=-6[/tex]

Divide both sides by 2.

[tex]r=-3[/tex]

And we're done!