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Simplifying 1L = ML Solving 1L = LM Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-1LM' to each side of the equation. 1L + -1LM = LM + -1LM Combine like terms: LM + -1LM = 0 1L + -1LM = 0 Factor out the Greatest Common Factor (GCF), 'L'. L(1 + -1M) = 0## Subproblem 1

Set the factor 'L' equal to zero and attempt to solve: Simplifying L = 0 Solving L = 0 Move all terms containing L to the left, all other terms to the right. Simplifying L = 0## Subproblem 2

Set the factor '(1 + -1M)' equal to zero and attempt to solve: Simplifying 1 + -1M = 0 Solving 1 + -1M = 0 Move all terms containing L to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1M = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1M = 0 + -1 -1M = 0 + -1 Combine like terms: 0 + -1 = -1 -1M = -1 Add 'M' to each side of the equation. -1M + M = -1 + M Combine like terms: -1M + M = 0 0 = -1 + M Simplifying 0 = -1 + M The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.## Solution

L = {0}

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