Question

Slove the equation 8v - 4(v + 8) = 8

Answer 1

Given the following equation:

`8v-4\mleft(v+8\mright)=8​`

The steps to solve for "v" are the shown below:

1.Apply the Distributive property:

`\begin{gathered} 8v-4\mleft(v+8\mright)=8​ \\ 8v-(4)(v)+(-4)(8)=8 \\ 8v-4v-32=8 \end{gathered}`

2. Apply the Addition property of equality by adding 32 to both sides of the equation:

`\begin{gathered} 8v-4v-32+(32)=8+(32) \\ 8v-4v=40 \end{gathered}`

3. Add the like terms:

`4v=40`

4. Apply the Division property of equality by dividing both sides of the equation by 4.

The solution is:

`\begin{gathered} (4v)/(4)=(40)/(4) \\ \\ v=10 \end{gathered}`