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Simplifying 2 = 12 + -2ln(9.1x) Remove parenthesis around (9.1x) 2 = 12 + -2ln * 9.1x Reorder the terms for easier multiplication: 2 = 12 + -2 * 9.1ln * x Multiply -2 * 9.1 2 = 12 + -18.2ln * x Multiply ln * x 2 = 12 + -18.2lnx Solving 2 = 12 + -18.2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '18.2lnx' to each side of the equation. 2 + 18.2lnx = 12 + -18.2lnx + 18.2lnx Combine like terms: -18.2lnx + 18.2lnx = 0.0 2 + 18.2lnx = 12 + 0.0 2 + 18.2lnx = 12 Add '-2' to each side of the equation. 2 + -2 + 18.2lnx = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 18.2lnx = 12 + -2 18.2lnx = 12 + -2 Combine like terms: 12 + -2 = 10 18.2lnx = 10 Divide each side by '18.2nx'. l = 0.5494505495n-1x-1 Simplifying l = 0.5494505495n-1x-1
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