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b. -84

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Step 2: Solve for a

Addition Property of Equality:                    [Simplify] Add:                                             Multiplication Property of Equality:           [Simplify] Multiply:                                      

Step 3: Check

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

Substitute in a:                    [Frac] Divide:                       Subtract:                              

Here we see that 5 does indeed equal 5.

∴ a = -84 is the solution to the equation.