Question

Solve for a. 3(a+3)+6=30

Answer 1

a = 5

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties: Distributive, etc.

Explanation:

Step 1: Write equation

3(a + 3) + 6 = 30

Step 2: Solve for a

1. Distribute 3: 3a + 9 + 6 = 30
2. Combine like terms: 3a + 15 = 30
3. Subtract 15 on both sides: 3a = 15
4. Divide 3 on both sides: a = 5

Step 3: Check

Plug in a to verify it's a solution.

1. Substitute: 3(5 + 3) + 6 = 30
2. Add: 3(8) + 6 = 30
3. Multiply: 24 + 6 = 30
4. Add: 30 = 30