Respuesta :

Space

Answer:

w = -5

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

  • 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

8 = 4w + 53 + 5w

Step 2: Solve for w

  1. Combine like terms:                    8 = 9w + 53
  2. Isolate w term:                             -45 = 9w
  3. Isolate w:                                      -5 = w
  4. Rewrite:                                        w = -5

Step 3: Check

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

  1. Substitute in w:                    8 = 4(-5) + 53 + 5(-5)
  2. Multiply:                                8 = -20 + 53 - 25
  3. Add:                                      8 = 33 - 25
  4. Subtract:                               8 = 8

Here we see that 8 does indeed equal 8.

∴ w = -5 is the solution to the equation.

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