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Simplifying (4u + 1) * ln(3) = 1 + -2u Reorder the terms: (1 + 4u) * ln(3) = 1 + -2u Reorder the terms for easier multiplication: 3ln(1 + 4u) = 1 + -2u (1 * 3ln + 4u * 3ln) = 1 + -2u (3ln + 12lnu) = 1 + -2u Solving 3ln + 12lnu = 1 + -2u Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -1 + 3ln + 12lnu + 2u = 1 + -2u + -1 + 2u Reorder the terms: -1 + 3ln + 12lnu + 2u = 1 + -1 + -2u + 2u Combine like terms: 1 + -1 = 0 -1 + 3ln + 12lnu + 2u = 0 + -2u + 2u -1 + 3ln + 12lnu + 2u = -2u + 2u Combine like terms: -2u + 2u = 0 -1 + 3ln + 12lnu + 2u = 0 The solution to this equation could not be determined.
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