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Simplifying ln(x + 3) + -1ln(x + -5) = 6 Reorder the terms: ln(3 + x) + -1ln(x + -5) = 6 (3 * ln + x * ln) + -1ln(x + -5) = 6 (3ln + lnx) + -1ln(x + -5) = 6 Reorder the terms: 3ln + lnx + -1ln(-5 + x) = 6 3ln + lnx + (-5 * -1ln + x * -1ln) = 6 3ln + lnx + (5ln + -1lnx) = 6 Reorder the terms: 3ln + 5ln + lnx + -1lnx = 6 Combine like terms: 3ln + 5ln = 8ln 8ln + lnx + -1lnx = 6 Combine like terms: lnx + -1lnx = 0 8ln + 0 = 6 8ln = 6 Solving 8ln = 6 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '8n'. l = 0.75n-1 Simplifying l = 0.75n-1
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