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Simplifying ln(y + -5) + -1ln(8) = x + lnx Reorder the terms: ln(-5 + y) + -1ln(8) = x + lnx (-5 * ln + y * ln) + -1ln(8) = x + lnx (-5ln + lny) + -1ln(8) = x + lnx Reorder the terms for easier multiplication: -5ln + lny + -1 * 8ln = x + lnx Multiply -1 * 8 -5ln + lny + -8ln = x + lnx Reorder the terms: -5ln + -8ln + lny = x + lnx Combine like terms: -5ln + -8ln = -13ln -13ln + lny = x + lnx Reorder the terms: -13ln + lny = lnx + x Solving -13ln + 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. -13ln + -1lnx + lny = lnx + -1lnx + x Combine like terms: lnx + -1lnx = 0 -13ln + -1lnx + lny = 0 + x -13ln + -1lnx + lny = x Combine like terms: x + -1x = 0 -13ln + -1lnx + lny + -1x = 0 The solution to this equation could not be determined.
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