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Simplifying -3(-3b + 1) = -6(-8b + -6) Reorder the terms: -3(1 + -3b) = -6(-8b + -6) (1 * -3 + -3b * -3) = -6(-8b + -6) (-3 + 9b) = -6(-8b + -6) Reorder the terms: -3 + 9b = -6(-6 + -8b) -3 + 9b = (-6 * -6 + -8b * -6) -3 + 9b = (36 + 48b) Solving -3 + 9b = 36 + 48b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-48b' to each side of the equation. -3 + 9b + -48b = 36 + 48b + -48b Combine like terms: 9b + -48b = -39b -3 + -39b = 36 + 48b + -48b Combine like terms: 48b + -48b = 0 -3 + -39b = 36 + 0 -3 + -39b = 36 Add '3' to each side of the equation. -3 + 3 + -39b = 36 + 3 Combine like terms: -3 + 3 = 0 0 + -39b = 36 + 3 -39b = 36 + 3 Combine like terms: 36 + 3 = 39 -39b = 39 Divide each side by '-39'. b = -1 Simplifying b = -1
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