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Simplifying 1 + -3x + -2lnx = 0 Reorder the terms: 1 + -2lnx + -3x = 0 Solving 1 + -2lnx + -3x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2lnx + -1 + -3x = 0 + -1 Reorder the terms: 1 + -1 + -2lnx + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2lnx + -3x = 0 + -1 -2lnx + -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -2lnx + -3x = -1 Add '3x' to each side of the equation. -2lnx + -3x + 3x = -1 + 3x Combine like terms: -3x + 3x = 0 -2lnx + 0 = -1 + 3x -2lnx = -1 + 3x Divide each side by '-2nx'. l = 0.5n-1x-1 + -1.5n-1 Simplifying l = 0.5n-1x-1 + -1.5n-1 Reorder the terms: l = -1.5n-1 + 0.5n-1x-1
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