Answer: v = -3
Given:
[tex]2\left(v-8\right)+3v=-31[/tex]-Distribute 2(v-8):
[tex]\begin{gathered} 2\left(v-8\right)+3v=-31 \\ \Rightarrow2v-16+3v=-31 \end{gathered}[/tex]-Combine like terms:
[tex]\begin{gathered} \begin{equation*} 2v-16+3v=-31 \end{equation*} \\ \Rightarrow2v+3v=-31+16 \\ \Rightarrow5v=-15 \end{gathered}[/tex]-Divide both sides by 5:
[tex]\begin{gathered} \begin{equation*} 5v=-15 \end{equation*} \\ \Rightarrow\frac{5v}{5}=\frac{-15}{5} \\ \Rightarrow v=-3 \end{gathered}[/tex]Therefore, v=-3
