We are given:
[tex] 6(5-8v)+12=-54 [/tex]
Let's simplify the equation by using the distributive property. Multiply 6 by everything in the parenthesis. We then get:
[tex] 30-48v+12=-54 [/tex]
Combine like terms on the left side of the equation:
[tex] 42-48v=-54 [/tex]
Subtract 42 from both sides to isolate the v on the left.
[tex] -48v=-96 [/tex]
Divide both sides by -48 to isolate the variable, v.
[tex] \frac{-48v}{-48}=\frac{-96}{-48} [/tex]
Simplify.
[tex] v=2 [/tex]
