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Simplifying ln(-1m) = ln(m + 10) Remove parenthesis around (-1m) ln * -1m = ln(m + 10) Reorder the terms for easier multiplication: -1ln * m = ln(m + 10) Multiply ln * m -1lmn = ln(m + 10) Reorder the terms: -1lmn = ln(10 + m) -1lmn = (10 * ln + m * ln) Reorder the terms: -1lmn = (lmn + 10ln) -1lmn = (lmn + 10ln) Solving -1lmn = lmn + 10ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lmn' to each side of the equation. -1lmn + -1lmn = lmn + -1lmn + 10ln Combine like terms: -1lmn + -1lmn = -2lmn -2lmn = lmn + -1lmn + 10ln Combine like terms: lmn + -1lmn = 0 -2lmn = 0 + 10ln -2lmn = 10ln Add '-10ln' to each side of the equation. -2lmn + -10ln = 10ln + -10ln Combine like terms: 10ln + -10ln = 0 -2lmn + -10ln = 0 Factor out the Greatest Common Factor (GCF), '-2ln'. -2ln(m + 5) = 0 Ignore the factor -2.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 '(m + 5)' equal to zero and attempt to solve: Simplifying m + 5 = 0 Reorder the terms: 5 + m = 0 Solving 5 + m = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Add '-1m' to each side of the equation. m + -1m = -5 + -1m Combine like terms: m + -1m = 0 0 = -5 + -1m Simplifying 0 = -5 + -1m 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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