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