Answer:
n = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Explanation:
Step 1: Define Equation
186 = 6(3n + 7)
Step 2: Solve for n
- Divide 6 on both sides: 31 = 3n + 7
- Isolate n term: 24 = 3n
- Isolate n: 8 = n
- Rewrite: n = 8
Step 3: Check
Plug in n into the original equation to verify it's a solution.
- Substitute in n: 186 = 6(3(8) + 7)
- Multiply: 186 = 6(24 + 7)
- Add: 186 = 6(31)
- Multiply: 186 = 186
Here we see that 186 does indeed equal 186.
∴ n = 8 is the solution to the equation.