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Simplifying 0.9ln(10000 + -0.01D) + 0.1ln(10000 + -7000 + 0.99D) = ln(9300) (10000 * 0.9ln + -0.01D * 0.9ln) + 0.1ln(10000 + -7000 + 0.99D) = ln(9300) (9000ln + -0.009lnD) + 0.1ln(10000 + -7000 + 0.99D) = ln(9300) Combine like terms: 10000 + -7000 = 3000 9000ln + -0.009lnD + 0.1ln(3000 + 0.99D) = ln(9300) 9000ln + -0.009lnD + (3000 * 0.1ln + 0.99D * 0.1ln) = ln(9300) 9000ln + -0.009lnD + (300ln + 0.099lnD) = ln(9300) Reorder the terms: 9000ln + 300ln + -0.009lnD + 0.099lnD = ln(9300) Combine like terms: 9000ln + 300ln = 9300ln 9300ln + -0.009lnD + 0.099lnD = ln(9300) Combine like terms: -0.009lnD + 0.099lnD = 0.09lnD 9300ln + 0.09lnD = ln(9300) Reorder the terms for easier multiplication: 9300ln + 0.09lnD = 9300ln Add '-9300ln' to each side of the equation. 9300ln + -9300ln + 0.09lnD = 9300ln + -9300ln Combine like terms: 9300ln + -9300ln = 0 0 + 0.09lnD = 9300ln + -9300ln 0.09lnD = 9300ln + -9300ln Combine like terms: 9300ln + -9300ln = 0 0.09lnD = 0 Solving 0.09lnD = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '0.09'. lnD = 0 Simplifying lnD = 0 The solution to this equation could not be determined.
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