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Simplifying [5x + 0.9lnx] * 8 = 0 Reorder the terms: [0.9lnx + 5x] * 8 = 0 Reorder the terms for easier multiplication: 8[0.9lnx + 5x] = 0 [0.9lnx * 8 + 5x * 8] = 0 [7.2lnx + 40x] = 0 Solving 7.2lnx + 40x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-40x' to each side of the equation. 7.2lnx + 40x + -40x = 0 + -40x Combine like terms: 40x + -40x = 0 7.2lnx + 0 = 0 + -40x 7.2lnx = 0 + -40x Remove the zero: 7.2lnx = -40x Divide each side by '7.2nx'. l = -5.555555556n-1 Simplifying l = -5.555555556n-1
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