Respuesta :

Space

Answer:

n = 35/52

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  

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

1/3(5n - 1) = 2(1 - n) + 1/5n

Step 2: Solve for n

  1. Distribute:                                                                                                       5/3n - 1/3 = 2 - 2n + 1/5n
  2. Combine like terms:                                                                                       5/3n - 1/3 = 2 - 9/5n
  3. [Addition Property of Equality] Add 9/5n to both sides:                              52/15n - 1/3 = 2
  4. [Addition Property of Equality] Add 1/3 on both sides:                                52/15n = 7/3
  5. [Division Property of Equality] Divide 52/15 on both sides:                        n = 35/52

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