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Simplifying ln(x + 1) + 1 = ln(x + -1) Reorder the terms: ln(1 + x) + 1 = ln(x + -1) (1 * ln + x * ln) + 1 = ln(x + -1) (1ln + lnx) + 1 = ln(x + -1) Reorder the terms: 1 + 1ln + lnx = ln(x + -1) Reorder the terms: 1 + 1ln + lnx = ln(-1 + x) 1 + 1ln + lnx = (-1 * ln + x * ln) 1 + 1ln + lnx = (-1ln + lnx) Add '-1lnx' to each side of the equation. 1 + 1ln + lnx + -1lnx = -1ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 1 + 1ln + 0 = -1ln + lnx + -1lnx 1 + 1ln = -1ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 1 + 1ln = -1ln + 0 1 + 1ln = -1ln Solving 1 + 1ln = -1ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'ln' to each side of the equation. 1 + 1ln + ln = -1ln + ln Combine like terms: 1ln + ln = 2ln 1 + 2ln = -1ln + ln Combine like terms: -1ln + ln = 0 1 + 2ln = 0 Add '-1' to each side of the equation. 1 + -1 + 2ln = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2ln = 0 + -1 2ln = 0 + -1 Combine like terms: 0 + -1 = -1 2ln = -1 Divide each side by '2n'. l = -0.5n-1 Simplifying l = -0.5n-1
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