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Simplifying 17 + -6xn = 47 + 10n Solving 17 + -6nx = 47 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 17 + -10n + -6nx = 47 + 10n + -10n Combine like terms: 10n + -10n = 0 17 + -10n + -6nx = 47 + 0 17 + -10n + -6nx = 47 Add '-17' to each side of the equation. 17 + -10n + -17 + -6nx = 47 + -17 Reorder the terms: 17 + -17 + -10n + -6nx = 47 + -17 Combine like terms: 17 + -17 = 0 0 + -10n + -6nx = 47 + -17 -10n + -6nx = 47 + -17 Combine like terms: 47 + -17 = 30 -10n + -6nx = 30 Reorder the terms: -30 + -10n + -6nx = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + -10n + -6nx = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(15 + 5n + 3nx) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(15 + 5n + 3nx)' equal to zero and attempt to solve: Simplifying 15 + 5n + 3nx = 0 Solving 15 + 5n + 3nx = 0 Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 5n + -15 + 3nx = 0 + -15 Reorder the terms: 15 + -15 + 5n + 3nx = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 5n + 3nx = 0 + -15 5n + 3nx = 0 + -15 Combine like terms: 0 + -15 = -15 5n + 3nx = -15 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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