Answer:
n = -3
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
- Equality Properties
Explanation:
Step 1: Define equation
3(-2 - n) = -9 - 4n
Step 2: Solve for n
- Distribute 3: -6 - 3n = -9 - 4n
- Add 4n to both sides: -6 + n = -9
- Add 6 to both sides: n = -3
Step 3: Check
Plug in n to verify it's a solution.
- Substitute: 3(-2 - -3) = -9 - 4(-3)
- Simplify: 3(-2 + 3) = -9 - 4(-3)
- Add: 3(1) = -9 - 4(-3)
- Multiply: 3 = -9 + 12
- Add: 3 = 3