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Simplifying ln(y + -8) + -1ln(8) = x + ln(x) Reorder the terms: ln(-8 + y) + -1ln(8) = x + ln(x) (-8 * ln + y * ln) + -1ln(8) = x + ln(x) (-8ln + lny) + -1ln(8) = x + ln(x) Reorder the terms for easier multiplication: -8ln + lny + -1 * 8ln = x + ln(x) Multiply -1 * 8 -8ln + lny + -8ln = x + ln(x) Reorder the terms: -8ln + -8ln + lny = x + ln(x) Combine like terms: -8ln + -8ln = -16ln -16ln + lny = x + ln(x) Multiply ln * x -16ln + lny = x + lnx Reorder the terms: -16ln + lny = lnx + x Solving -16ln + 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. -16ln + -1lnx + lny = lnx + -1lnx + x Combine like terms: lnx + -1lnx = 0 -16ln + -1lnx + lny = 0 + x -16ln + -1lnx + lny = x Combine like terms: x + -1x = 0 -16ln + -1lnx + lny + -1x = 0 The solution to this equation could not be determined.
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