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Simplifying 22 + -5n12 = 22 + 15n13 Add '-22' to each side of the equation. 22 + -22 + -5n12 = 22 + -22 + 15n13 Combine like terms: 22 + -22 = 0 0 + -5n12 = 22 + -22 + 15n13 -5n12 = 22 + -22 + 15n13 Combine like terms: 22 + -22 = 0 -5n12 = 0 + 15n13 -5n12 = 15n13 Solving -5n12 = 15n13 Solving for variable 'n'. Combine like terms: 15n13 + -15n13 = 0 -5n12 + -15n13 = 0 Factor out the Greatest Common Factor (GCF), '-5n12'. -5n12(1 + 3n) = 0 Ignore the factor -5.Subproblem 1
Set the factor 'n12' equal to zero and attempt to solve: Simplifying n12 = 0 Solving n12 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n12 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 3n)' equal to zero and attempt to solve: Simplifying 1 + 3n = 0 Solving 1 + 3n = 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 + 3n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3n = 0 + -1 3n = 0 + -1 Combine like terms: 0 + -1 = -1 3n = -1 Divide each side by '3'. n = -0.3333333333 Simplifying n = -0.3333333333Solution
n = {-0.3333333333}
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