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Simplifying -4ln(x) + 2x + 6 = 0 Multiply ln * x -4lnx + 2x + 6 = 0 Reorder the terms: 6 + -4lnx + 2x = 0 Solving 6 + -4lnx + 2x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -4lnx + -6 + 2x = 0 + -6 Reorder the terms: 6 + -6 + -4lnx + 2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4lnx + 2x = 0 + -6 -4lnx + 2x = 0 + -6 Combine like terms: 0 + -6 = -6 -4lnx + 2x = -6 Add '-2x' to each side of the equation. -4lnx + 2x + -2x = -6 + -2x Combine like terms: 2x + -2x = 0 -4lnx + 0 = -6 + -2x -4lnx = -6 + -2x Divide each side by '-4nx'. l = 1.5n-1x-1 + 0.5n-1 Simplifying l = 1.5n-1x-1 + 0.5n-1 Reorder the terms: l = 0.5n-1 + 1.5n-1x-1
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