Respuesta :

n=8 is the correct answer
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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

Step-by-step 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.

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