An=3n-n

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Solution for An=3n-n equation:


Simplifying
An = 3n + -1n

Combine like terms: 3n + -1n = 2n
nA = 2n

Solving
nA = 2n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-2n' to each side of the equation.
-2n + nA = 2n + -2n

Combine like terms: 2n + -2n = 0
-2n + nA = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2 + A) = 0

Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0

Subproblem 2

Set the factor '(-2 + A)' equal to zero and attempt to solve: Simplifying -2 + A = 0 Solving -2 + A = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + A = 0 + 2 Combine like terms: -2 + 2 = 0 0 + A = 0 + 2 A = 0 + 2 Combine like terms: 0 + 2 = 2 A = 2 Add '-1A' to each side of the equation. A + -1A = 2 + -1A Combine like terms: A + -1A = 0 0 = 2 + -1A Simplifying 0 = 2 + -1A The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

n = {0}

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