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Simplifying 12n * x = 60 + -20x + 36n Multiply n * x 12nx = 60 + -20x + 36n Reorder the terms: 12nx = 60 + 36n + -20x Solving 12nx = 60 + 36n + -20x 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. -36n + 12nx = 60 + 36n + -36n + -20x Combine like terms: 36n + -36n = 0 -36n + 12nx = 60 + 0 + -20x -36n + 12nx = 60 + -20x Reorder the terms: -60 + -36n + 12nx + 20x = 60 + -20x + -60 + 20x Reorder the terms: -60 + -36n + 12nx + 20x = 60 + -60 + -20x + 20x Combine like terms: 60 + -60 = 0 -60 + -36n + 12nx + 20x = 0 + -20x + 20x -60 + -36n + 12nx + 20x = -20x + 20x Combine like terms: -20x + 20x = 0 -60 + -36n + 12nx + 20x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-15 + -9n + 3nx + 5x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-15 + -9n + 3nx + 5x)' equal to zero and attempt to solve: Simplifying -15 + -9n + 3nx + 5x = 0 Solving -15 + -9n + 3nx + 5x = 0 Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -9n + 3nx + 15 + 5x = 0 + 15 Reorder the terms: -15 + 15 + -9n + 3nx + 5x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -9n + 3nx + 5x = 0 + 15 -9n + 3nx + 5x = 0 + 15 Combine like terms: 0 + 15 = 15 -9n + 3nx + 5x = 15 Add '-5x' to each side of the equation. -9n + 3nx + 5x + -5x = 15 + -5x Combine like terms: 5x + -5x = 0 -9n + 3nx + 0 = 15 + -5x -9n + 3nx = 15 + -5x 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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