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Simplifying Ln(5) + 3ln(-1x) = ln(-20x) Reorder the terms for easier multiplication: 5nL + 3ln(-1x) = ln(-20x) Remove parenthesis around (-1x) 5nL + 3ln * -1x = ln(-20x) Reorder the terms for easier multiplication: 5nL + 3 * -1ln * x = ln(-20x) Multiply 3 * -1 5nL + -3ln * x = ln(-20x) Multiply ln * x 5nL + -3lnx = ln(-20x) Reorder the terms: -3lnx + 5nL = ln(-20x) Remove parenthesis around (-20x) -3lnx + 5nL = ln * -20x Reorder the terms for easier multiplication: -3lnx + 5nL = -20ln * x Multiply ln * x -3lnx + 5nL = -20lnx Solving -3lnx + 5nL = -20lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '20lnx' to each side of the equation. -3lnx + 20lnx + 5nL = -20lnx + 20lnx Combine like terms: -3lnx + 20lnx = 17lnx 17lnx + 5nL = -20lnx + 20lnx Combine like terms: -20lnx + 20lnx = 0 17lnx + 5nL = 0 Add '-5nL' to each side of the equation. 17lnx + 5nL + -5nL = 0 + -5nL Combine like terms: 5nL + -5nL = 0 17lnx + 0 = 0 + -5nL 17lnx = 0 + -5nL Remove the zero: 17lnx = -5nL Divide each side by '17nx'. l = -0.2941176471x-1L Simplifying l = -0.2941176471x-1L
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