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3 votes
186 = 6 (3n + 7) answer for N

2 Answers

2 votes
n=8 is the correct answer
User Mike Peterson
by
4.2k points
6 votes

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Explanation:

Step 1: Define Equation

186 = 6(3n + 7)

Step 2: Solve for n

  1. Divide 6 on both sides: 31 = 3n + 7
  2. Isolate n term: 24 = 3n
  3. Isolate n: 8 = n
  4. Rewrite: n = 8

Step 3: Check

Plug in n into the original equation to verify it's a solution.

  1. Substitute in n: 186 = 6(3(8) + 7)
  2. Multiply: 186 = 6(24 + 7)
  3. Add: 186 = 6(31)
  4. Multiply: 186 = 186

Here we see that 186 does indeed equal 186.

∴ n = 8 is the solution to the equation.

User Tavoyne
by
4.9k points