Question

Initial Knowledge Check Solve for v. -(6)/(v+2)=-(3)/(2v+4)+1

Answer 1

To solve the equation -(6)/(v+2)=-(3)/(2v+4)+1 for v, follow these steps: multiply both sides by (v+2), distribute the multiplication, combine like terms, multiply both sides by (2v+4), redistribute the multiplication, combine like terms, move terms with v to one side, combine like terms, solve for v.

Step-by-step explanation:

To solve the equation -(6)/(v+2)=-(3)/(2v+4)+1 for v, you need to manipulate the equation to isolate the variable v on one side of the equation. Here are the steps:

1. Multiply both sides of the equation by (v+2) to eliminate the denominators.
2. Distribute the multiplication on both sides.
3. Combine like terms and simplify the equation.
4. Multiply both sides of the equation by (2v+4) to eliminate the denominators.
5. Distribute the multiplication on both sides.
6. Combine like terms and simplify the equation.
7. Move all terms with v to one side of the equation and all constant terms to the other side.
8. Combine like terms and simplify the equation to solve for v.

The value of v that satisfies the equation is the solution to the problem.