Can anyone solve 84=4(1 - 4g) step by step?

g = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

84 = 4(1 - 4g)

Step 2: Solve for g

Distribute 4:                    84 = 4 - 16gIsolate g term:                 80 = -16gIsolate g:                         -5 = gRewrite:                           g = -5

Step 3: Check

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

Substitute in g:                    84 = 4(1 - 4(-5))Multiply:                               84 = 4(1 + 20)Add:                                     84 = 4(21)Multiply:                               84 = 84

Here we see that 84 does indeed equal 84.

∴ g = -5 is a solution of the equation.