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Simplifying 1 = ln(t + 2) + -1ln(t + 1) Reorder the terms: 1 = ln(2 + t) + -1ln(t + 1) 1 = (2 * ln + t * ln) + -1ln(t + 1) 1 = (2ln + lnt) + -1ln(t + 1) Reorder the terms: 1 = 2ln + lnt + -1ln(1 + t) 1 = 2ln + lnt + (1 * -1ln + t * -1ln) 1 = 2ln + lnt + (-1ln + -1lnt) Reorder the terms: 1 = 2ln + -1ln + lnt + -1lnt Combine like terms: 2ln + -1ln = 1ln 1 = 1ln + lnt + -1lnt Combine like terms: lnt + -1lnt = 0 1 = 1ln + 0 1 = 1ln Solving 1 = 1ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1ln' to each side of the equation. 1 + -1ln = 1ln + -1ln Combine like terms: 1ln + -1ln = 0 1 + -1ln = 0 Add '-1' to each side of the equation. 1 + -1 + -1ln = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1ln = 0 + -1 -1ln = 0 + -1 Combine like terms: 0 + -1 = -1 -1ln = -1 Divide each side by '-1n'. l = n-1 Simplifying l = n-1
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