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Simplifying ln + -1m = ln(m + 10) Reorder the terms: ln + -1m = ln(10 + m) ln + -1m = (10 * ln + m * ln) Reorder the terms: ln + -1m = (lmn + 10ln) ln + -1m = (lmn + 10ln) Solving ln + -1m = 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. ln + -1lmn + -1m = lmn + -1lmn + 10ln Reorder the terms: -1lmn + ln + -1m = lmn + -1lmn + 10ln Combine like terms: lmn + -1lmn = 0 -1lmn + ln + -1m = 0 + 10ln -1lmn + ln + -1m = 10ln Add '-10ln' to each side of the equation. -1lmn + ln + -10ln + -1m = 10ln + -10ln Combine like terms: ln + -10ln = -9ln -1lmn + -9ln + -1m = 10ln + -10ln Combine like terms: 10ln + -10ln = 0 -1lmn + -9ln + -1m = 0 Add 'm' to each side of the equation. -1lmn + -9ln + -1m + m = 0 + m Combine like terms: -1m + m = 0 -1lmn + -9ln + 0 = 0 + m -1lmn + -9ln = 0 + m Remove the zero: -1lmn + -9ln = m Combine like terms: m + -1m = 0 -1lmn + -9ln + -1m = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(lmn + 9ln + m) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(lmn + 9ln + m)' equal to zero and attempt to solve: Simplifying lmn + 9ln + m = 0 Solving lmn + 9ln + m = 0 Move all terms containing l to the left, all other terms to the right. Add '-1m' to each side of the equation. lmn + 9ln + m + -1m = 0 + -1m Combine like terms: m + -1m = 0 lmn + 9ln + 0 = 0 + -1m lmn + 9ln = 0 + -1m Remove the zero: lmn + 9ln = -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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