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Simplifying 0 = 2 + -3ln(2x) Remove parenthesis around (2x) 0 = 2 + -3ln * 2x Reorder the terms for easier multiplication: 0 = 2 + -3 * 2ln * x Multiply -3 * 2 0 = 2 + -6ln * x Multiply ln * x 0 = 2 + -6lnx Solving 0 = 2 + -6lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '6lnx' to each side of the equation. 0 + 6lnx = 2 + -6lnx + 6lnx Remove the zero: 6lnx = 2 + -6lnx + 6lnx Combine like terms: -6lnx + 6lnx = 0 6lnx = 2 + 0 6lnx = 2 Divide each side by '6nx'. l = 0.3333333333n-1x-1 Simplifying l = 0.3333333333n-1x-1
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