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Simplifying ln(-1m + 5) = ln(-5m + -10) Reorder the terms: ln(5 + -1m) = ln(-5m + -10) (5 * ln + -1m * ln) = ln(-5m + -10) Reorder the terms: (-1lmn + 5ln) = ln(-5m + -10) (-1lmn + 5ln) = ln(-5m + -10) Reorder the terms: -1lmn + 5ln = ln(-10 + -5m) -1lmn + 5ln = (-10 * ln + -5m * ln) Reorder the terms: -1lmn + 5ln = (-5lmn + -10ln) -1lmn + 5ln = (-5lmn + -10ln) Solving -1lmn + 5ln = -5lmn + -10ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '5lmn' to each side of the equation. -1lmn + 5lmn + 5ln = -5lmn + 5lmn + -10ln Combine like terms: -1lmn + 5lmn = 4lmn 4lmn + 5ln = -5lmn + 5lmn + -10ln Combine like terms: -5lmn + 5lmn = 0 4lmn + 5ln = 0 + -10ln 4lmn + 5ln = -10ln Add '10ln' to each side of the equation. 4lmn + 5ln + 10ln = -10ln + 10ln Combine like terms: 5ln + 10ln = 15ln 4lmn + 15ln = -10ln + 10ln Combine like terms: -10ln + 10ln = 0 4lmn + 15ln = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(4m + 15) = 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 '(4m + 15)' equal to zero and attempt to solve: Simplifying 4m + 15 = 0 Reorder the terms: 15 + 4m = 0 Solving 15 + 4m = 0 Move all terms containing l to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4m = 0 + -15 4m = 0 + -15 Combine like terms: 0 + -15 = -15 4m = -15 Add '-4m' to each side of the equation. 4m + -4m = -15 + -4m Combine like terms: 4m + -4m = 0 0 = -15 + -4m Simplifying 0 = -15 + -4m 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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