Question

6v+18-9v=-12
solve for v.​

Answer 1

v = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Explanation:

Step 1: Define Equation

6v + 18 - 9v = -12

Step 2: Solve for v

1. Combine like terms: -3v + 18 = -12
2. Isolate v term: -3v = -30
3. Isolate v: v = 10

Step 3: Check

Plug in v into the original equation to verify it's a solution.

1. Substitute in v: 6(10) + 18 - 9(10) = -12
2. Multiply: 60 + 18 - 90 = -12
3. Add: 78 - 90 = -12
4. Subtract: -12 = -12

Here we see that -12 does indeed equal -12.

∴ v = 10 is the solution to the equation.