Question

Solve for v2(v-8)+3v=-31Simplify your answer as much as possible

Answer 1

Answer: v = -3

Given:

`2\left(v-8\right)+3v=-31`

-Distribute 2(v-8):

`\begin{gathered} 2\left(v-8\right)+3v=-31 \\ \Rightarrow2v-16+3v=-31 \end{gathered}`

-Combine like terms:

`\begin{gathered} \begin{equation*} 2v-16+3v=-31 \end{equation*} \\ \Rightarrow2v+3v=-31+16 \\ \Rightarrow5v=-15 \end{gathered}`

-Divide both sides by 5:

`\begin{gathered} \begin{equation*} 5v=-15 \end{equation*} \\ \Rightarrow(5v)/(5)=(-15)/(5) \\ \Rightarrow v=-3 \end{gathered}`

Therefore, v=-3