Answer:
p = -8
Step-by-step explanation:
Step 1: Write equation
7(p + 3) + 9 = 5(p - 2) - 3p
Step 2: Solve for p
- Distribute: 7p + 21 + 9 = 5p - 10 - 3p
- Combine like terms: 7p + 30 = 2p - 10
- Subtract 2p on both sides: 5p + 30 = -10
- Subtract 30 on both sides: 5p = -40
- Divide both sides by 5: p = -8
Step 3: Check
Plug in x to verify it's a solution.
- Substitute: 7(-8 + 3) + 9 = 5(-8 - 2) - 3(-8)
- Parenthesis: 7(-5) + 9 = 5(-10) + 24
- Multiply: -35 + 9 = -50 + 24
- Add: -26 = -26
