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Simplifying x(18n + -6) = 36n + -12 Reorder the terms: x(-6 + 18n) = 36n + -12 (-6 * x + 18n * x) = 36n + -12 Reorder the terms: (18nx + -6x) = 36n + -12 (18nx + -6x) = 36n + -12 Reorder the terms: 18nx + -6x = -12 + 36n Solving 18nx + -6x = -12 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 18nx + -36n + -6x = -12 + 36n + -36n Reorder the terms: -36n + 18nx + -6x = -12 + 36n + -36n Combine like terms: 36n + -36n = 0 -36n + 18nx + -6x = -12 + 0 -36n + 18nx + -6x = -12 Add '6x' to each side of the equation. -36n + 18nx + -6x + 6x = -12 + 6x Combine like terms: -6x + 6x = 0 -36n + 18nx + 0 = -12 + 6x -36n + 18nx = -12 + 6x Reorder the terms: 12 + -36n + 18nx + -6x = -12 + 6x + 12 + -6x Reorder the terms: 12 + -36n + 18nx + -6x = -12 + 12 + 6x + -6x Combine like terms: -12 + 12 = 0 12 + -36n + 18nx + -6x = 0 + 6x + -6x 12 + -36n + 18nx + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 12 + -36n + 18nx + -6x = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(2 + -6n + 3nx + -1x) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(2 + -6n + 3nx + -1x)' equal to zero and attempt to solve: Simplifying 2 + -6n + 3nx + -1x = 0 Solving 2 + -6n + 3nx + -1x = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -6n + 3nx + -2 + -1x = 0 + -2 Reorder the terms: 2 + -2 + -6n + 3nx + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -6n + 3nx + -1x = 0 + -2 -6n + 3nx + -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -6n + 3nx + -1x = -2 Add 'x' to each side of the equation. -6n + 3nx + -1x + x = -2 + x Combine like terms: -1x + x = 0 -6n + 3nx + 0 = -2 + x -6n + 3nx = -2 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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