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Simplifying ln(x + 3) = ln(x + -3) + 1.4 Reorder the terms: ln(3 + x) = ln(x + -3) + 1.4 (3 * ln + x * ln) = ln(x + -3) + 1.4 (3ln + lnx) = ln(x + -3) + 1.4 Reorder the terms: 3ln + lnx = ln(-3 + x) + 1.4 3ln + lnx = (-3 * ln + x * ln) + 1.4 3ln + lnx = (-3ln + lnx) + 1.4 Reorder the terms: 3ln + lnx = 1.4 + -3ln + lnx Add '-1lnx' to each side of the equation. 3ln + lnx + -1lnx = 1.4 + -3ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 3ln + 0 = 1.4 + -3ln + lnx + -1lnx 3ln = 1.4 + -3ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 3ln = 1.4 + -3ln + 0 3ln = 1.4 + -3ln Solving 3ln = 1.4 + -3ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3ln' to each side of the equation. 3ln + 3ln = 1.4 + -3ln + 3ln Combine like terms: 3ln + 3ln = 6ln 6ln = 1.4 + -3ln + 3ln Combine like terms: -3ln + 3ln = 0 6ln = 1.4 + 0 6ln = 1.4 Divide each side by '6n'. l = 0.2333333333n-1 Simplifying l = 0.2333333333n-1
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