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Simplifying -5(-6b + -6) = 6(b + 1) Reorder the terms: -5(-6 + -6b) = 6(b + 1) (-6 * -5 + -6b * -5) = 6(b + 1) (30 + 30b) = 6(b + 1) Reorder the terms: 30 + 30b = 6(1 + b) 30 + 30b = (1 * 6 + b * 6) 30 + 30b = (6 + 6b) Solving 30 + 30b = 6 + 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. 30 + 30b + -6b = 6 + 6b + -6b Combine like terms: 30b + -6b = 24b 30 + 24b = 6 + 6b + -6b Combine like terms: 6b + -6b = 0 30 + 24b = 6 + 0 30 + 24b = 6 Add '-30' to each side of the equation. 30 + -30 + 24b = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 24b = 6 + -30 24b = 6 + -30 Combine like terms: 6 + -30 = -24 24b = -24 Divide each side by '24'. b = -1 Simplifying b = -1
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