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Simplifying 2lny = lne + -3lnc Reorder the terms: 2lny = -3cln + eln Solving 2lny = -3cln + eln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3cln' to each side of the equation. 3cln + 2lny = -3cln + 3cln + eln Combine like terms: -3cln + 3cln = 0 3cln + 2lny = 0 + eln 3cln + 2lny = eln Add '-1eln' to each side of the equation. 3cln + -1eln + 2lny = eln + -1eln Combine like terms: eln + -1eln = 0 3cln + -1eln + 2lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(3c + -1e + 2y) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 '(3c + -1e + 2y)' equal to zero and attempt to solve: Simplifying 3c + -1e + 2y = 0 Solving 3c + -1e + 2y = 0 Move all terms containing l to the left, all other terms to the right. Add '-3c' to each side of the equation. 3c + -1e + -3c + 2y = 0 + -3c Reorder the terms: 3c + -3c + -1e + 2y = 0 + -3c Combine like terms: 3c + -3c = 0 0 + -1e + 2y = 0 + -3c -1e + 2y = 0 + -3c Remove the zero: -1e + 2y = -3c Add 'e' to each side of the equation. -1e + e + 2y = -3c + e Combine like terms: -1e + e = 0 0 + 2y = -3c + e 2y = -3c + e Add '-2y' to each side of the equation. 2y + -2y = -3c + e + -2y Combine like terms: 2y + -2y = 0 0 = -3c + e + -2y Simplifying 0 = -3c + e + -2y 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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