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Simplifying ln(x + 4) + -1ln(x + -3) = 6 Reorder the terms: ln(4 + x) + -1ln(x + -3) = 6 (4 * ln + x * ln) + -1ln(x + -3) = 6 (4ln + lnx) + -1ln(x + -3) = 6 Reorder the terms: 4ln + lnx + -1ln(-3 + x) = 6 4ln + lnx + (-3 * -1ln + x * -1ln) = 6 4ln + lnx + (3ln + -1lnx) = 6 Reorder the terms: 4ln + 3ln + lnx + -1lnx = 6 Combine like terms: 4ln + 3ln = 7ln 7ln + lnx + -1lnx = 6 Combine like terms: lnx + -1lnx = 0 7ln + 0 = 6 7ln = 6 Solving 7ln = 6 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '7n'. l = 0.8571428571n-1 Simplifying l = 0.8571428571n-1
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