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Simplifying 8n5 = -24n4 Solving 8n5 = -24n4 Solving for variable 'n'. Reorder the terms: 24n4 + 8n5 = -24n4 + 24n4 Combine like terms: -24n4 + 24n4 = 0 24n4 + 8n5 = 0 Factor out the Greatest Common Factor (GCF), '8n4'. 8n4(3 + n) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'n4' equal to zero and attempt to solve: Simplifying n4 = 0 Solving n4 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n4 = 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 '(3 + n)' equal to zero and attempt to solve: Simplifying 3 + n = 0 Solving 3 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + n = 0 + -3 n = 0 + -3 Combine like terms: 0 + -3 = -3 n = -3 Simplifying n = -3Solution
n = {-3}
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