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Simplifying 8b + 6 = ln(2c) + ln(c) Reorder the terms: 6 + 8b = ln(2c) + ln(c) Remove parenthesis around (2c) 6 + 8b = ln * 2c + ln(c) Reorder the terms for easier multiplication: 6 + 8b = 2ln * c + ln(c) Multiply ln * c 6 + 8b = 2cln + ln(c) Multiply ln * c 6 + 8b = 2cln + cln Combine like terms: 2cln + cln = 3cln 6 + 8b = 3cln Solving 6 + 8b = 3cln Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 8b = -6 + 3cln Combine like terms: 6 + -6 = 0 0 + 8b = -6 + 3cln 8b = -6 + 3cln Divide each side by '8'. b = -0.75 + 0.375cln Simplifying b = -0.75 + 0.375cln
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