Answer:
[tex]v = 2[/tex]
Step-by-step explanation:
Hi there! I'm glad I was able to help you solve this equation!
Let's start by simplifying both sides of the equation. It's easier to solve it this way!
[tex]v - 6 (4v + 6) = -82[/tex]
Distribute:
[tex]v + (-6) (4v) + (-6) (6) = -82[/tex]
[tex]v + -24v + -36 = -82[/tex]
Combine 'like' terms:
[tex](v -24v) + (-36) = -82[/tex]
[tex]-23v - 36 = -82[/tex]
Next, you'll want to add 36 to both sides of the equation.
[tex]-23v-36 + 36 = -82 + 36[/tex]
[tex]-23v = -46[/tex]
Finally, divide both sides by [tex]-23[/tex].
[tex]\frac{-23v}{-23} = \frac{-46}{-23}[/tex]
[tex]v = 2[/tex]
I hope this helped you! Leave a comment below if you have any further questions! :)
