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Simplifying 18n = 2nx + -2n Reorder the terms: 18n = -2n + 2nx Solving 18n = -2n + 2nx 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. 18n + 2n = -2n + 2n + 2nx Combine like terms: 18n + 2n = 20n 20n = -2n + 2n + 2nx Combine like terms: -2n + 2n = 0 20n = 0 + 2nx 20n = 2nx Add '-2nx' to each side of the equation. 20n + -2nx = 2nx + -2nx Combine like terms: 2nx + -2nx = 0 20n + -2nx = 0 Factor out the Greatest Common Factor (GCF), '2n'. 2n(10 + -1x) = 0 Ignore the factor 2.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 = 0Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Add 'x' to each side of the equation. -1x + x = -10 + x Combine like terms: -1x + x = 0 0 = -10 + x Simplifying 0 = -10 + x 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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