Question

Solve for v: -28 = 5(v + 7) + 2v. Simplify your answer.

Answer 1

To solve for v in the equation -28 = 5(v + 7) + 2v, distribute 5 to v + 7, combine like terms, subtract 35 from both sides, and divide both sides by 7. The solution is v = -9.

Step-by-step explanation:

To solve for v in the equation -28 = 5(v + 7) + 2v, we will follow these steps:

1. Distribute 5 to v + 7: -28 = 5v + 35 + 2v.
2. Combine like terms on the right side: -28 = 7v + 35.
3. Subtract 35 from both sides: -63 = 7v.
4. Divide both sides by 7: v = -9.

The solution is v = -9.