Given the following equation:
[tex]8v-4\mleft(v+8\mright)=8[/tex]The steps to solve for "v" are the shown below:
1.Apply the Distributive property:
[tex]\begin{gathered} 8v-4\mleft(v+8\mright)=8 \\ 8v-(4)(v)+(-4)(8)=8 \\ 8v-4v-32=8 \end{gathered}[/tex]2. Apply the Addition property of equality by adding 32 to both sides of the equation:
[tex]\begin{gathered} 8v-4v-32+(32)=8+(32) \\ 8v-4v=40 \end{gathered}[/tex]3. Add the like terms:
[tex]4v=40[/tex]4. Apply the Division property of equality by dividing both sides of the equation by 4.
The solution is:
[tex]\begin{gathered} \frac{4v}{4}=\frac{40}{4} \\ \\ v=10 \end{gathered}[/tex]