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Simplifying 8ln(9 + k) = 24 (9 * 8ln + k * 8ln) = 24 Reorder the terms: (8kln + 72ln) = 24 (8kln + 72ln) = 24 Solving 8kln + 72ln = 24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-72ln' to each side of the equation. 8kln + 72ln + -72ln = 24 + -72ln Combine like terms: 72ln + -72ln = 0 8kln + 0 = 24 + -72ln 8kln = 24 + -72ln Divide each side by '8ln'. k = 3l-1n-1 + -9 Simplifying k = 3l-1n-1 + -9 Reorder the terms: k = -9 + 3l-1n-1
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