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Simplifying ln(4y + -4) + ln(5) = 3x + ln(2x) Reorder the terms: ln(-4 + 4y) + ln(5) = 3x + ln(2x) (-4 * ln + 4y * ln) + ln(5) = 3x + ln(2x) (-4ln + 4lny) + ln(5) = 3x + ln(2x) Reorder the terms for easier multiplication: -4ln + 4lny + 5ln = 3x + ln(2x) Reorder the terms: -4ln + 5ln + 4lny = 3x + ln(2x) Combine like terms: -4ln + 5ln = 1ln 1ln + 4lny = 3x + ln(2x) Remove parenthesis around (2x) 1ln + 4lny = 3x + ln * 2x Reorder the terms for easier multiplication: 1ln + 4lny = 3x + 2ln * x Multiply ln * x 1ln + 4lny = 3x + 2lnx Reorder the terms: 1ln + 4lny = 2lnx + 3x Solving 1ln + 4lny = 2lnx + 3x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2lnx' to each side of the equation. 1ln + -2lnx + 4lny = 2lnx + -2lnx + 3x Combine like terms: 2lnx + -2lnx = 0 1ln + -2lnx + 4lny = 0 + 3x 1ln + -2lnx + 4lny = 3x Combine like terms: 3x + -3x = 0 1ln + -2lnx + 4lny + -3x = 0 The solution to this equation could not be determined.
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