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Simplifying 6n + 9 = -3n + -21 + -6forn Reorder the terms: 9 + 6n = -3n + -21 + -6forn Reorder the terms: 9 + 6n = -21 + -6fnor + -3n Solving 9 + 6n = -21 + -6fnor + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6fnor' to each side of the equation. 9 + 6fnor + 6n = -21 + -6fnor + 6fnor + -3n Combine like terms: -6fnor + 6fnor = 0 9 + 6fnor + 6n = -21 + 0 + -3n 9 + 6fnor + 6n = -21 + -3n Add '3n' to each side of the equation. 9 + 6fnor + 6n + 3n = -21 + -3n + 3n Combine like terms: 6n + 3n = 9n 9 + 6fnor + 9n = -21 + -3n + 3n Combine like terms: -3n + 3n = 0 9 + 6fnor + 9n = -21 + 0 9 + 6fnor + 9n = -21 Add '-9' to each side of the equation. 9 + 6fnor + -9 + 9n = -21 + -9 Reorder the terms: 9 + -9 + 6fnor + 9n = -21 + -9 Combine like terms: 9 + -9 = 0 0 + 6fnor + 9n = -21 + -9 6fnor + 9n = -21 + -9 Combine like terms: -21 + -9 = -30 6fnor + 9n = -30 Reorder the terms: 30 + 6fnor + 9n = -30 + 30 Combine like terms: -30 + 30 = 0 30 + 6fnor + 9n = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(10 + 2fnor + 3n) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(10 + 2fnor + 3n)' equal to zero and attempt to solve: Simplifying 10 + 2fnor + 3n = 0 Solving 10 + 2fnor + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2fnor + -10 + 3n = 0 + -10 Reorder the terms: 10 + -10 + 2fnor + 3n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2fnor + 3n = 0 + -10 2fnor + 3n = 0 + -10 Combine like terms: 0 + -10 = -10 2fnor + 3n = -10 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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