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Simplifying Ln(5) + -1ln(-4x) = 1 Reorder the terms for easier multiplication: 5nL + -1ln(-4x) = 1 Remove parenthesis around (-4x) 5nL + -1ln * -4x = 1 Reorder the terms for easier multiplication: 5nL + -1 * -4ln * x = 1 Multiply -1 * -4 5nL + 4ln * x = 1 Multiply ln * x 5nL + 4lnx = 1 Reorder the terms: 4lnx + 5nL = 1 Solving 4lnx + 5nL = 1 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5nL' to each side of the equation. 4lnx + 5nL + -5nL = 1 + -5nL Combine like terms: 5nL + -5nL = 0 4lnx + 0 = 1 + -5nL 4lnx = 1 + -5nL Divide each side by '4nx'. l = 0.25n-1x-1 + -1.25x-1L Simplifying l = 0.25n-1x-1 + -1.25x-1L
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