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Simplifying -8n + 4(1 + 5n) = 6ne -8n + (1 * 4 + 5n * 4) = 6ne -8n + (4 + 20n) = 6ne Reorder the terms: 4 + -8n + 20n = 6ne Combine like terms: -8n + 20n = 12n 4 + 12n = 6ne Solving 4 + 12n = 6en Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6en' to each side of the equation. 4 + -6en + 12n = 6en + -6en Combine like terms: 6en + -6en = 0 4 + -6en + 12n = 0 Add '-4' to each side of the equation. 4 + -6en + -4 + 12n = 0 + -4 Reorder the terms: 4 + -4 + -6en + 12n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6en + 12n = 0 + -4 -6en + 12n = 0 + -4 Combine like terms: 0 + -4 = -4 -6en + 12n = -4 Reorder the terms: 4 + -6en + 12n = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -6en + 12n = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -3en + 6n) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -3en + 6n)' equal to zero and attempt to solve: Simplifying 2 + -3en + 6n = 0 Solving 2 + -3en + 6n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3en + -2 + 6n = 0 + -2 Reorder the terms: 2 + -2 + -3en + 6n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3en + 6n = 0 + -2 -3en + 6n = 0 + -2 Combine like terms: 0 + -2 = -2 -3en + 6n = -2 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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