Question

Solve for u-6u+3(u-3)=12

Answer 1

Answer: u=7

Given:

`-6u+3(u-3)=12`

- Distribute 3(u-3):

`\begin{gathered} -6u+3(u-3)=12 \\ \Rightarrow-6u+3u-9=12 \end{gathered}`

- Combine like terms:

`\begin{gathered} \begin{equation*} -6u+3u-9=12 \end{equation*} \\ \Rightarrow-6u+3u=12+9 \\ \Rightarrow-3u=21 \end{gathered}`

- Divide both sides by -3:

`\begin{gathered} \begin{equation*} -3u=21 \end{equation*} \\ \Rightarrow(-3u)/(-3)=(21)/(-3) \\ \Rightarrow u=7 \end{gathered}`

Therefore, u=7.