First, we need to apply the distributive property as:
22 = -5v + 2(v + 5)
22 = -5v + 2*v + 2*5
22 = -5v + 2v + 10
22 = -3v + 10
Then, substracting 20 on both sides, we get:
22 - 10 = -3v + 10 - 10
12 = -3v
Dividing by -3, we get:
[tex]\begin{gathered} \frac{12}{-3}=\frac{-3v}{-3} \\ -4=v \end{gathered}[/tex]Answer: v = - 4
