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Simplifying ln(y + -9) + -1ln(5) = x + ln(x) Reorder the terms: ln(-9 + y) + -1ln(5) = x + ln(x) (-9 * ln + y * ln) + -1ln(5) = x + ln(x) (-9ln + lny) + -1ln(5) = x + ln(x) Reorder the terms for easier multiplication: -9ln + lny + -1 * 5ln = x + ln(x) Multiply -1 * 5 -9ln + lny + -5ln = x + ln(x) Reorder the terms: -9ln + -5ln + lny = x + ln(x) Combine like terms: -9ln + -5ln = -14ln -14ln + lny = x + ln(x) Multiply ln * x -14ln + lny = x + lnx Reorder the terms: -14ln + lny = lnx + x Solving -14ln + lny = lnx + x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx' to each side of the equation. -14ln + -1lnx + lny = lnx + -1lnx + x Combine like terms: lnx + -1lnx = 0 -14ln + -1lnx + lny = 0 + x -14ln + -1lnx + lny = x Combine like terms: x + -1x = 0 -14ln + -1lnx + lny + -1x = 0 The solution to this equation could not be determined.
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