Question

Find the value of 3w-10 given that -11w-4=7.
Simplify your answer as much as possible.

Answer 1

-13

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
• Subtraction Property of Equality

Explanation:

Step 1: Define

Identify

-11w - 4 = 7

3w - 10

Step 2: Solve for w

1. [Addition Property of Equality] Add 4 on both sides: -11w = 11
2. [Division Property of Equality] Divide -11 on both sides: w = -1

Step 3: Evaluate

1. Substitute in w: 3(-1) - 10
2. Multiply: -3 - 10
3. Subtract: -13