Respuesta :

Space

Answer:

t = 1

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

3t - 18 = 4(-3 - 3/4t)

Step 2: Solve for t

  1. Distribute 4:                              3t - 18 = -12 - 3t
  2. Add 3t to both sides:               6t - 18 = -12
  3. Add 18 to both sides:               6t = 6
  4. Divide 6 on both sides:            t = 1

Step 3: Check

Plug in t into the original equation to verify it's a solution.

  1. Substitute in t:                    3(1) - 18 = 4(-3 - 3/4(1))
  2. Multiply:                              3 - 18 = 4(-3 - 3/4)
  3. Subtract:                             -15 = 4(-15/4)
  4. Multiply:                              -15 = -15

Here we see that -15 does indeed equal -15.

∴ t = 1 is a solution of the equation.