Answer:
w = -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Algebra I
Explanation:
Step 1: Define
8 = 4w + 53 + 5w
Step 2: Solve for w
- Combine like terms: 8 = 9w + 53
- Isolate w term: -45 = 9w
- Isolate w: -5 = w
- Rewrite: w = -5
Step 3: Check
Plug in w into the original equation to verify it's a solution.
- Substitute in w: 8 = 4(-5) + 53 + 5(-5)
- Multiply: 8 = -20 + 53 - 25
- Add: 8 = 33 - 25
- Subtract: 8 = 8
Here we see that 8 does indeed equal 8.
∴ w = -5 is the solution to the equation.