Question

42= -7 (z - 3)
z = ?

Answer 1

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

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