Question

how do i simplify this?

Answer 1

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.