3n-wn=wforn

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Solution for 3n-wn=wforn equation:


Simplifying
3n + -1wn = wforn

Solving
3n + -1nw = fnorw

Solving for variable 'n'.

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

Add '-1fnorw' to each side of the equation.
3n + -1fnorw + -1nw = fnorw + -1fnorw

Reorder the terms:
-1fnorw + 3n + -1nw = fnorw + -1fnorw

Combine like terms: fnorw + -1fnorw = 0
-1fnorw + 3n + -1nw = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1forw + 3 + -1w) = 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 '(-1forw + 3 + -1w)' equal to zero and attempt to solve: Simplifying -1forw + 3 + -1w = 0 Reorder the terms: 3 + -1forw + -1w = 0 Solving 3 + -1forw + -1w = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1forw + -3 + -1w = 0 + -3 Reorder the terms: 3 + -3 + -1forw + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1forw + -1w = 0 + -3 -1forw + -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1forw + -1w = -3 Add 'forw' to each side of the equation. -1forw + forw + -1w = -3 + forw Combine like terms: -1forw + forw = 0 0 + -1w = -3 + forw -1w = -3 + forw Add 'w' to each side of the equation. -1w + w = -3 + forw + w Combine like terms: -1w + w = 0 0 = -3 + forw + w Simplifying 0 = -3 + forw + w 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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