Answer:
b = 0
Step-by-step explanation:
Step 1: Write equation
10(1 - 8b) = 10b + 5(b + 2)
Step 2: Solve for b
- Distribute: 10 - 80b = 10b + 5b + 10
- Combine like terms: 10 - 80b = 15b + 10
- Add 80b to both sides: 10 = 95b + 10
- Subtract 10 on both sides: 0 = 95b
- Divide both sides by 95: 0 = b
- Rewrite: b = 0
Step 3: Check
Plug in b to verify it's a solution.
- Substitute: 10(1 - 8(0)) = 10(0) + 5(0 + 2)
- Evaluate: 10(1 - 0) = 0 + 5(2)
- Evaluate: 10(1) = 10
- Evaluate: 10 = 10
