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Simplifying 0.37 = ln(-2.5k) Remove parenthesis around (-2.5k) 0.37 = ln * -2.5k Reorder the terms for easier multiplication: 0.37 = -2.5ln * k Multiply ln * k 0.37 = -2.5kln Solving 0.37 = -2.5kln Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2.5kln' to each side of the equation. 0.37 + 2.5kln = -2.5kln + 2.5kln Combine like terms: -2.5kln + 2.5kln = 0.0 0.37 + 2.5kln = 0.0 Add '-0.37' to each side of the equation. 0.37 + -0.37 + 2.5kln = 0.0 + -0.37 Combine like terms: 0.37 + -0.37 = 0.00 0.00 + 2.5kln = 0.0 + -0.37 2.5kln = 0.0 + -0.37 Combine like terms: 0.0 + -0.37 = -0.37 2.5kln = -0.37 Divide each side by '2.5ln'. k = -0.148l-1n-1 Simplifying k = -0.148l-1n-1
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