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Simplifying 6n + -12 = 3x(2n + -4) Reorder the terms: -12 + 6n = 3x(2n + -4) Reorder the terms: -12 + 6n = 3x(-4 + 2n) -12 + 6n = (-4 * 3x + 2n * 3x) Reorder the terms: -12 + 6n = (6nx + -12x) -12 + 6n = (6nx + -12x) Solving -12 + 6n = 6nx + -12x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6nx' to each side of the equation. -12 + 6n + -6nx = 6nx + -6nx + -12x Combine like terms: 6nx + -6nx = 0 -12 + 6n + -6nx = 0 + -12x -12 + 6n + -6nx = -12x Add '12' to each side of the equation. -12 + 6n + 12 + -6nx = 12 + -12x Reorder the terms: -12 + 12 + 6n + -6nx = 12 + -12x Combine like terms: -12 + 12 = 0 0 + 6n + -6nx = 12 + -12x 6n + -6nx = 12 + -12x Reorder the terms: -12 + 6n + -6nx + 12x = 12 + -12x + -12 + 12x Reorder the terms: -12 + 6n + -6nx + 12x = 12 + -12 + -12x + 12x Combine like terms: 12 + -12 = 0 -12 + 6n + -6nx + 12x = 0 + -12x + 12x -12 + 6n + -6nx + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 6n + -6nx + 12x = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + n + -1nx + 2x) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + n + -1nx + 2x)' equal to zero and attempt to solve: Simplifying -2 + n + -1nx + 2x = 0 Solving -2 + n + -1nx + 2x = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + n + -1nx + 2 + 2x = 0 + 2 Reorder the terms: -2 + 2 + n + -1nx + 2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + n + -1nx + 2x = 0 + 2 n + -1nx + 2x = 0 + 2 Combine like terms: 0 + 2 = 2 n + -1nx + 2x = 2 Add '-2x' to each side of the equation. n + -1nx + 2x + -2x = 2 + -2x Combine like terms: 2x + -2x = 0 n + -1nx + 0 = 2 + -2x n + -1nx = 2 + -2x 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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