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Simplifying -1 + -8ln(-8b + -5) = 7 Reorder the terms: -1 + -8ln(-5 + -8b) = 7 -1 + (-5 * -8ln + -8b * -8ln) = 7 Reorder the terms: -1 + (64bln + 40ln) = 7 -1 + (64bln + 40ln) = 7 Solving -1 + 64bln + 40ln = 7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 64bln + 1 + 40ln = 7 + 1 Reorder the terms: -1 + 1 + 64bln + 40ln = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 64bln + 40ln = 7 + 1 64bln + 40ln = 7 + 1 Combine like terms: 7 + 1 = 8 64bln + 40ln = 8 Add '-40ln' to each side of the equation. 64bln + 40ln + -40ln = 8 + -40ln Combine like terms: 40ln + -40ln = 0 64bln + 0 = 8 + -40ln 64bln = 8 + -40ln Divide each side by '64ln'. b = 0.125l-1n-1 + -0.625 Simplifying b = 0.125l-1n-1 + -0.625 Reorder the terms: b = -0.625 + 0.125l-1n-1
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