Respuesta :

Space

Answer:

[tex]\displaystyle w = 1[/tex]

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

Algebra I

Terms/Coefficients

Equality Properties

  1. Multiplication Property of Equality
  2. Division Property of Equality
  3. Addition Property of Equality
  4. Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify equation.

[tex]\displaystyle -5 = \frac{w - 11}{2}[/tex]

Step 2: Solve for w

  1. [Multiplication Property of Equality] Multiply 2 on both sides:                      [tex]\displaystyle -10 = w - 11[/tex]
  2. [Addition Property of Equality] Add 11 on both sides:                                   [tex]\displaystyle 1 = w[/tex]
  3. Rewrite:                                                                                                             [tex]\displaystyle w = 1[/tex]                                                                                                            
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