Question

Solve -8-3(w+13)=4(w+11)-7w

Answer 1

w = no solutions

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

Explanation:

Step 1: Define

-8 - 3(w + 13) = 4(w + 11) - 7w

Step 2: Solve for w

1. Distribute: -8 - 3w - 39 = 4w + 44 - 7w
2. Combine like terms: -3w - 47 = -3w + 44
3. Add 3w on both sides: -47 ≠ 44

Here we see that -47 does not equal 44.

∴ w = no solutions.