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Simplifying ln(6y + -4) + ln(3) = 3x + ln(5x) Reorder the terms: ln(-4 + 6y) + ln(3) = 3x + ln(5x) (-4 * ln + 6y * ln) + ln(3) = 3x + ln(5x) (-4ln + 6lny) + ln(3) = 3x + ln(5x) Reorder the terms for easier multiplication: -4ln + 6lny + 3ln = 3x + ln(5x) Reorder the terms: -4ln + 3ln + 6lny = 3x + ln(5x) Combine like terms: -4ln + 3ln = -1ln -1ln + 6lny = 3x + ln(5x) Remove parenthesis around (5x) -1ln + 6lny = 3x + ln * 5x Reorder the terms for easier multiplication: -1ln + 6lny = 3x + 5ln * x Multiply ln * x -1ln + 6lny = 3x + 5lnx Reorder the terms: -1ln + 6lny = 5lnx + 3x Solving -1ln + 6lny = 5lnx + 3x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5lnx' to each side of the equation. -1ln + -5lnx + 6lny = 5lnx + -5lnx + 3x Combine like terms: 5lnx + -5lnx = 0 -1ln + -5lnx + 6lny = 0 + 3x -1ln + -5lnx + 6lny = 3x Combine like terms: 3x + -3x = 0 -1ln + -5lnx + 6lny + -3x = 0 The solution to this equation could not be determined.
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