Respuesta :

Space

Answer:

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

Step-by-step 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.