Question

7(p + 3) + 9 = 5(p – 2) – 3p What is P

Answer 1

p = -8

Explanation:

Step 1: Write equation

7(p + 3) + 9 = 5(p - 2) - 3p

Step 2: Solve for p

1. Distribute: 7p + 21 + 9 = 5p - 10 - 3p
2. Combine like terms: 7p + 30 = 2p - 10
3. Subtract 2p on both sides: 5p + 30 = -10
4. Subtract 30 on both sides: 5p = -40
5. Divide both sides by 5: p = -8

Step 3: Check

Plug in x to verify it's a solution.

1. Substitute: 7(-8 + 3) + 9 = 5(-8 - 2) - 3(-8)
2. Parenthesis: 7(-5) + 9 = 5(-10) + 24
3. Multiply: -35 + 9 = -50 + 24
4. Add: -26 = -26