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Scrat [10]
3 years ago
14

How do i simplify this?

Mathematics
1 answer:
Law Incorporation [45]3 years ago
5 0

Answer:

k = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

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:

<u>Step 1: Define</u>

-84 = -2(2 + 5k)

<u>Step 2: Solve for </u><em><u>k</u></em>

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

<u>Step 3: Check</u>

<em>Plug in k into the original equation to verify it's a solution.</em>

  1. Substitute in <em>k</em>:                    -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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