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Simplifying ln(9 + -2b) = ln(-3b + -1) (9 * ln + -2b * ln) = ln(-3b + -1) Reorder the terms: (-2bln + 9ln) = ln(-3b + -1) (-2bln + 9ln) = ln(-3b + -1) Reorder the terms: -2bln + 9ln = ln(-1 + -3b) -2bln + 9ln = (-1 * ln + -3b * ln) Reorder the terms: -2bln + 9ln = (-3bln + -1ln) -2bln + 9ln = (-3bln + -1ln) Solving -2bln + 9ln = -3bln + -1ln Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3bln' to each side of the equation. -2bln + 3bln + 9ln = -3bln + 3bln + -1ln Combine like terms: -2bln + 3bln = 1bln 1bln + 9ln = -3bln + 3bln + -1ln Combine like terms: -3bln + 3bln = 0 1bln + 9ln = 0 + -1ln 1bln + 9ln = -1ln Add '-9ln' to each side of the equation. 1bln + 9ln + -9ln = -1ln + -9ln Combine like terms: 9ln + -9ln = 0 1bln + 0 = -1ln + -9ln 1bln = -1ln + -9ln Combine like terms: -1ln + -9ln = -10ln 1bln = -10ln Divide each side by '1ln'. b = -10 Simplifying b = -10
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