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Simplifying Ln(x + -3) + -1ln(2x) = 2.4 Reorder the terms: nL(-3 + x) + -1ln(2x) = 2.4 (-3 * nL + x * nL) + -1ln(2x) = 2.4 (-3nL + nxL) + -1ln(2x) = 2.4 Remove parenthesis around (2x) -3nL + nxL + -1ln * 2x = 2.4 Reorder the terms for easier multiplication: -3nL + nxL + -1 * 2ln * x = 2.4 Multiply -1 * 2 -3nL + nxL + -2ln * x = 2.4 Multiply ln * x -3nL + nxL + -2lnx = 2.4 Reorder the terms: -2lnx + -3nL + nxL = 2.4 Solving -2lnx + -3nL + nxL = 2.4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3nL' to each side of the equation. -2lnx + -3nL + 3nL + nxL = 2.4 + 3nL Combine like terms: -3nL + 3nL = 0 -2lnx + 0 + nxL = 2.4 + 3nL -2lnx + nxL = 2.4 + 3nL Add '-1nxL' to each side of the equation. -2lnx + nxL + -1nxL = 2.4 + 3nL + -1nxL Combine like terms: nxL + -1nxL = 0 -2lnx + 0 = 2.4 + 3nL + -1nxL -2lnx = 2.4 + 3nL + -1nxL Divide each side by '-2nx'. l = -1.2n-1x-1 + -1.5x-1L + 0.5L Simplifying l = -1.2n-1x-1 + -1.5x-1L + 0.5L Reorder the terms: l = 0.5L + -1.2n-1x-1 + -1.5x-1L
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