Final answer:
To solve for v in the equation 2v+6=13v-4v+62, we can simplify the equation by combining like terms and then isolate v by getting all the v terms on one side of the equation.
Step-by-step explanation:
To solve for v in the equation 2v+6=13v-4v+62, we first need to simplify the equation. Combining like terms, we have 2v+6=9v+62. Next, we need to get all the v terms on one side of the equation. Subtracting 2v from both sides, we get 6=7v+62. Then, subtracting 62 from both sides, we have -56=7v. Finally, dividing both sides by 7, we get v=-8. Therefore, the solution to the equation is v=-8.