Respuesta :

Space

Answer:

k = 8

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

-84 = -2(2 + 5k)

Step 2: Solve for k

  1. Divide -2 on both sides:                    42 = 2 + 5k
  2. Isolate k term:                                    40 = 5k
  3. Isolate k:                                             8 = k
  4. Rewrite:                                              k = 8

Step 3: Check

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

  1. Substitute in k:                    -84 = -2(2 + 5(8))
  2. Multiply:                               -84 = -2(2 + 40)
  3. Add:                                     -84 = -2(42)
  4. Multiply:                               -84 = -84

Here we see that -84 does indeed equal -84.

∴ k = 8 is the solution to the equation.

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