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Simplifying -1x + 2lnx + 8 = 0 Reorder the terms: 8 + 2lnx + -1x = 0 Solving 8 + 2lnx + -1x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2lnx + -8 + -1x = 0 + -8 Reorder the terms: 8 + -8 + 2lnx + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2lnx + -1x = 0 + -8 2lnx + -1x = 0 + -8 Combine like terms: 0 + -8 = -8 2lnx + -1x = -8 Add 'x' to each side of the equation. 2lnx + -1x + x = -8 + x Combine like terms: -1x + x = 0 2lnx + 0 = -8 + x 2lnx = -8 + x Divide each side by '2nx'. l = -4n-1x-1 + 0.5n-1 Simplifying l = -4n-1x-1 + 0.5n-1 Reorder the terms: l = 0.5n-1 + -4n-1x-1
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