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Simplifying (lnt + -1ln(t + -3)) + -1 = t Reorder the terms: (lnt + -1ln(-3 + t)) + -1 = t (lnt + (-3 * -1ln + t * -1ln)) + -1 = t (lnt + (3ln + -1lnt)) + -1 = t Reorder the terms: (3ln + lnt + -1lnt) + -1 = t Combine like terms: lnt + -1lnt = 0 (3ln + 0) + -1 = t (3ln) + -1 = t (3ln) + -1 = t Reorder the terms: -1 + (3ln) = t Solving -1 + (3ln) = t 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 + 1 + (3ln) = 1 + t Combine like terms: -1 + 1 = 0 0 + (3ln) = 1 + t (3ln) = 1 + t Divide each side by '(3n)'. l = 0.3333333333n-1 + 0.3333333333n-1t Simplifying l = 0.3333333333n-1 + 0.3333333333n-1t
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