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Simplifying ln(x + -2) + 4 = ln(x) Reorder the terms: ln(-2 + x) + 4 = ln(x) (-2 * ln + x * ln) + 4 = ln(x) (-2ln + lnx) + 4 = ln(x) Reorder the terms: 4 + -2ln + lnx = ln(x) Multiply ln * x 4 + -2ln + lnx = lnx Add '-1lnx' to each side of the equation. 4 + -2ln + lnx + -1lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 4 + -2ln + 0 = lnx + -1lnx 4 + -2ln = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 4 + -2ln = 0 Solving 4 + -2ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -2ln = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2ln = 0 + -4 -2ln = 0 + -4 Combine like terms: 0 + -4 = -4 -2ln = -4 Divide each side by '-2n'. l = 2n-1 Simplifying l = 2n-1
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