Respuesta :

Space

Answer:

z = -3

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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Distributive Property

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

42 = -7(z - 3)

Step 2: Solve for z

  1. [Distributive Property] Distribute -7:                                                                42 = -7z + 21
  2. [Subtraction Property of Equality] Subtract 21 on both sides:                       21 = -7z
  3. [Division Property of Equality] Divide -7 on both sides:                                -3 = z
  4. Rewrite:                                                                                                             z = -3

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