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Simplifying 20 = 18 + -5ln(42 + -1L) 20 = 18 + (42 * -5ln + -1L * -5ln) 20 = 18 + (-210ln + 5lnL) Solving 20 = 18 + -210ln + 5lnL Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '210ln' to each side of the equation. 20 + 210ln = 18 + -210ln + 210ln + 5lnL Combine like terms: -210ln + 210ln = 0 20 + 210ln = 18 + 0 + 5lnL 20 + 210ln = 18 + 5lnL Add '-5lnL' to each side of the equation. 20 + 210ln + -5lnL = 18 + 5lnL + -5lnL Combine like terms: 5lnL + -5lnL = 0 20 + 210ln + -5lnL = 18 + 0 20 + 210ln + -5lnL = 18 Add '-20' to each side of the equation. 20 + 210ln + -20 + -5lnL = 18 + -20 Reorder the terms: 20 + -20 + 210ln + -5lnL = 18 + -20 Combine like terms: 20 + -20 = 0 0 + 210ln + -5lnL = 18 + -20 210ln + -5lnL = 18 + -20 Combine like terms: 18 + -20 = -2 210ln + -5lnL = -2 Reorder the terms: 2 + 210ln + -5lnL = -2 + 2 Combine like terms: -2 + 2 = 0 2 + 210ln + -5lnL = 0 The solution to this equation could not be determined.
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