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Simplifying -0.5ln(0.5) + 0.5ln(1.5) = x Reorder the terms for easier multiplication: -0.5 * 0.5ln + 0.5ln(1.5) = x Multiply -0.5 * 0.5 -0.25ln + 0.5ln(1.5) = x Reorder the terms for easier multiplication: -0.25ln + 0.5 * 1.5ln = x Multiply 0.5 * 1.5 -0.25ln + 0.75ln = x Combine like terms: -0.25ln + 0.75ln = 0.5ln 0.5ln = x Solving 0.5ln = x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '0.5n'. l = 2n-1x Simplifying l = 2n-1x
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