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Simplifying 6(4 + 6b) = -5(-6b + 6) (4 * 6 + 6b * 6) = -5(-6b + 6) (24 + 36b) = -5(-6b + 6) Reorder the terms: 24 + 36b = -5(6 + -6b) 24 + 36b = (6 * -5 + -6b * -5) 24 + 36b = (-30 + 30b) Solving 24 + 36b = -30 + 30b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30b' to each side of the equation. 24 + 36b + -30b = -30 + 30b + -30b Combine like terms: 36b + -30b = 6b 24 + 6b = -30 + 30b + -30b Combine like terms: 30b + -30b = 0 24 + 6b = -30 + 0 24 + 6b = -30 Add '-24' to each side of the equation. 24 + -24 + 6b = -30 + -24 Combine like terms: 24 + -24 = 0 0 + 6b = -30 + -24 6b = -30 + -24 Combine like terms: -30 + -24 = -54 6b = -54 Divide each side by '6'. b = -9 Simplifying b = -9
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