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Simplifying -3(-2b + -8) = -6(-6 + b) Reorder the terms: -3(-8 + -2b) = -6(-6 + b) (-8 * -3 + -2b * -3) = -6(-6 + b) (24 + 6b) = -6(-6 + b) 24 + 6b = (-6 * -6 + b * -6) 24 + 6b = (36 + -6b) Solving 24 + 6b = 36 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 24 + 6b + 6b = 36 + -6b + 6b Combine like terms: 6b + 6b = 12b 24 + 12b = 36 + -6b + 6b Combine like terms: -6b + 6b = 0 24 + 12b = 36 + 0 24 + 12b = 36 Add '-24' to each side of the equation. 24 + -24 + 12b = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 12b = 36 + -24 12b = 36 + -24 Combine like terms: 36 + -24 = 12 12b = 12 Divide each side by '12'. b = 1 Simplifying b = 1
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