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Simplifying ln(t + 8) + ln(t + -1) + -1 = 0 Reorder the terms: ln(8 + t) + ln(t + -1) + -1 = 0 (8 * ln + t * ln) + ln(t + -1) + -1 = 0 (8ln + lnt) + ln(t + -1) + -1 = 0 Reorder the terms: 8ln + lnt + ln(-1 + t) + -1 = 0 8ln + lnt + (-1 * ln + t * ln) + -1 = 0 8ln + lnt + (-1ln + lnt) + -1 = 0 Reorder the terms: -1 + 8ln + -1ln + lnt + lnt = 0 Combine like terms: 8ln + -1ln = 7ln -1 + 7ln + lnt + lnt = 0 Combine like terms: lnt + lnt = 2lnt -1 + 7ln + 2lnt = 0 Solving -1 + 7ln + 2lnt = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 7ln + 1 + 2lnt = 0 + 1 Reorder the terms: -1 + 1 + 7ln + 2lnt = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7ln + 2lnt = 0 + 1 7ln + 2lnt = 0 + 1 Combine like terms: 0 + 1 = 1 7ln + 2lnt = 1 Reorder the terms: -1 + 7ln + 2lnt = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 7ln + 2lnt = 0 The solution to this equation could not be determined.
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