Solve: -104 = -6n-8

Answer

n = 16

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Step-by-Step Breakdown

  1. Expand and simplify the left-hand side: -104 = -104
  2. Expand and simplify the right-hand side: -6n-8 = -6n - 8
  3. Move every term to one side so the equation reads "...= 0": 6n - 96 = 0
  4. This is a linear equation of the form an+b=0, with a=6 and b=-96.
  5. Solve for n: n = -b/a = -(-96)/6 = 16

Theory & Definitions

A linear equation in one unknown can always be rearranged into the form an+b=0 (a≠0), which has exactly one solution: n = -b/a.

Frequently Asked Questions

What is the solution to -104 = -6n-8?

n = 16.

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