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Simplifying ln(-5n + -5) = ln(-4n + -3) Reorder the terms: ln(-5 + -5n) = ln(-4n + -3) (-5 * ln + -5n * ln) = ln(-4n + -3) (-5ln + -5ln2) = ln(-4n + -3) Reorder the terms: -5ln + -5ln2 = ln(-3 + -4n) -5ln + -5ln2 = (-3 * ln + -4n * ln) -5ln + -5ln2 = (-3ln + -4ln2) Solving -5ln + -5ln2 = -3ln + -4ln2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3ln' to each side of the equation. -5ln + 3ln + -5ln2 = -3ln + 3ln + -4ln2 Combine like terms: -5ln + 3ln = -2ln -2ln + -5ln2 = -3ln + 3ln + -4ln2 Combine like terms: -3ln + 3ln = 0 -2ln + -5ln2 = 0 + -4ln2 -2ln + -5ln2 = -4ln2 Add '4ln2' to each side of the equation. -2ln + -5ln2 + 4ln2 = -4ln2 + 4ln2 Combine like terms: -5ln2 + 4ln2 = -1ln2 -2ln + -1ln2 = -4ln2 + 4ln2 Combine like terms: -4ln2 + 4ln2 = 0 -2ln + -1ln2 = 0 Factor out the Greatest Common Factor (GCF), '-1ln'. -1ln(2 + n) = 0 Ignore the factor -1.Subproblem 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 '(2 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Add '-1n' to each side of the equation. n + -1n = -2 + -1n Combine like terms: n + -1n = 0 0 = -2 + -1n Simplifying 0 = -2 + -1n 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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