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Simplifying 3ln(2) + ln(8) = 2ln(32) Reorder the terms for easier multiplication: 3 * 2ln + ln(8) = 2ln(32) Multiply 3 * 2 6ln + ln(8) = 2ln(32) Reorder the terms for easier multiplication: 6ln + 8ln = 2ln(32) Combine like terms: 6ln + 8ln = 14ln 14ln = 2ln(32) Reorder the terms for easier multiplication: 14ln = 2 * 32ln Multiply 2 * 32 14ln = 64ln Solving 14ln = 64ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-64ln' to each side of the equation. 14ln + -64ln = 64ln + -64ln Combine like terms: 14ln + -64ln = -50ln -50ln = 64ln + -64ln Combine like terms: 64ln + -64ln = 0 -50ln = 0 Divide each side by '-50'. ln = 0.0 Simplifying ln = 0.0 The solution to this equation could not be determined.
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