Answer:
![r=-3](https://img.qammunity.org/2022/formulas/mathematics/high-school/mhsprxs02i4tm9ebrhryv6kzg2gxttrgs6.png)
Explanation:
Alright.
![-8-6(r+4)=-8r-38](https://img.qammunity.org/2022/formulas/mathematics/high-school/okplt18orbwzqkqbcqt3agrqel4x5nz6u2.png)
First, we'll distribute that
.
![-8-6r-24=-8r-38](https://img.qammunity.org/2022/formulas/mathematics/high-school/w3cjsp2soi69nbesma9j6y1985n8057dpi.png)
Next, I'm going to move the
to the other side.
![-8-6r-24+8r=-38](https://img.qammunity.org/2022/formulas/mathematics/high-school/kcb3ja4ymljs3wg9dn2ieaydlre3xw85be.png)
That means the sign changes. Now, I'll combine like terms on the left.
![2r-32=-38](https://img.qammunity.org/2022/formulas/mathematics/high-school/axek3ls2rmqioqgepubvs3429dw7ss676s.png)
Now, I'll move the
over to the right.
![2r=-6](https://img.qammunity.org/2022/formulas/mathematics/high-school/viv0xc7zi47e34vyip3vsxx3ceob768czo.png)
Divide both sides by 2.
![r=-3](https://img.qammunity.org/2022/formulas/mathematics/high-school/mhsprxs02i4tm9ebrhryv6kzg2gxttrgs6.png)
And we're done!