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Simplifying Ln(3x + -4) + -1ln(2x + -1) = 4 Reorder the terms: nL(-4 + 3x) + -1ln(2x + -1) = 4 (-4 * nL + 3x * nL) + -1ln(2x + -1) = 4 (-4nL + 3nxL) + -1ln(2x + -1) = 4 Reorder the terms: -4nL + 3nxL + -1ln(-1 + 2x) = 4 -4nL + 3nxL + (-1 * -1ln + 2x * -1ln) = 4 -4nL + 3nxL + (1ln + -2lnx) = 4 Reorder the terms: 1ln + -2lnx + -4nL + 3nxL = 4 Solving 1ln + -2lnx + -4nL + 3nxL = 4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '4nL' to each side of the equation. 1ln + -2lnx + -4nL + 4nL + 3nxL = 4 + 4nL Combine like terms: -4nL + 4nL = 0 1ln + -2lnx + 0 + 3nxL = 4 + 4nL 1ln + -2lnx + 3nxL = 4 + 4nL Add '-3nxL' to each side of the equation. 1ln + -2lnx + 3nxL + -3nxL = 4 + 4nL + -3nxL Combine like terms: 3nxL + -3nxL = 0 1ln + -2lnx + 0 = 4 + 4nL + -3nxL 1ln + -2lnx = 4 + 4nL + -3nxL Reorder the terms: -4 + 1ln + -2lnx + -4nL + 3nxL = 4 + 4nL + -3nxL + -4 + -4nL + 3nxL Reorder the terms: -4 + 1ln + -2lnx + -4nL + 3nxL = 4 + -4 + 4nL + -4nL + -3nxL + 3nxL Combine like terms: 4 + -4 = 0 -4 + 1ln + -2lnx + -4nL + 3nxL = 0 + 4nL + -4nL + -3nxL + 3nxL -4 + 1ln + -2lnx + -4nL + 3nxL = 4nL + -4nL + -3nxL + 3nxL Combine like terms: 4nL + -4nL = 0 -4 + 1ln + -2lnx + -4nL + 3nxL = 0 + -3nxL + 3nxL -4 + 1ln + -2lnx + -4nL + 3nxL = -3nxL + 3nxL Combine like terms: -3nxL + 3nxL = 0 -4 + 1ln + -2lnx + -4nL + 3nxL = 0 The solution to this equation could not be determined.
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