Answer:
r = 4
General Formulas and Concepts:
Pre-Alg
- Order of Operations: BPEMDAS
- Equality Properties
Explanation:
Step 1: Define equation
-5 + 22 = r - 4 + 3r + 5
Step 2: Solve for r
- Combine like terms: 17 = 4r + 1
- Subtract 1 on both sides: 16 = 4r
- Divide 4 on both sides: 4 = r
- Rewrite: r = 4
Step 3: Check
Plug in r to verify it's a solution.
- Substitute: -5 + 22 = 4 - 4 + 3(4) + 5
- Add/Subtract: 17 = 3(4) + 5
- Multiply: 17 = 12 + 5
- Add: 17 = 17