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