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Simplifying 5(6 + 6b) = -6(1 + b) (6 * 5 + 6b * 5) = -6(1 + b) (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 = 36b 30 + 36b = -6 + -6b + 6b Combine like terms: -6b + 6b = 0 30 + 36b = -6 + 0 30 + 36b = -6 Add '-30' to each side of the equation. 30 + -30 + 36b = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 36b = -6 + -30 36b = -6 + -30 Combine like terms: -6 + -30 = -36 36b = -36 Divide each side by '36'. b = -1 Simplifying b = -1
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