![\huge\boxed{20}](https://img.qammunity.org/2022/formulas/mathematics/high-school/rkld6dlhhxu5shtt2h0dskamfl5fq8fb61.png)
We know that
and
are equal, and we're looking for their sum. First, we'll need to find the value of
.
Set the expressions equal to each other:
![5b=b+8](https://img.qammunity.org/2022/formulas/mathematics/high-school/5d8qnrwxj9w2pe4z6dalkaef27sxrqb4cv.png)
Subtract
from both sides:
![4b=8](https://img.qammunity.org/2022/formulas/mathematics/high-school/kiqpcfmqx5ttm8xxfamlzb39aazxxq066v.png)
Divide everything by
:
![b=2](https://img.qammunity.org/2022/formulas/mathematics/high-school/hfnuofcvvsz7mvzimvavgsw4knihyaiwp5.png)
Now that we have the value of
, we can substitute it into the sum of the two expressions to get our final answer.
![5b+(b+8) \\ 5b+b+8 \\ 6b+8](https://img.qammunity.org/2022/formulas/mathematics/high-school/re6lzllyajyru743n5mcywnqp3sjbhe7aj.png)
Substitute:
![6(2)+8](https://img.qammunity.org/2022/formulas/mathematics/high-school/rn0zrc1sgwggdtybcudnqxk0rzca0f0fxm.png)
Simplify:
![12+8 \\ \boxed{20}](https://img.qammunity.org/2022/formulas/mathematics/high-school/aa57q2c7ssedigxnzx51cqklqkco4qf9qm.png)