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Simplifying 12(10b + -9) = -12(9 + 8b) Reorder the terms: 12(-9 + 10b) = -12(9 + 8b) (-9 * 12 + 10b * 12) = -12(9 + 8b) (-108 + 120b) = -12(9 + 8b) -108 + 120b = (9 * -12 + 8b * -12) -108 + 120b = (-108 + -96b) Add '108' to each side of the equation. -108 + 108 + 120b = -108 + 108 + -96b Combine like terms: -108 + 108 = 0 0 + 120b = -108 + 108 + -96b 120b = -108 + 108 + -96b Combine like terms: -108 + 108 = 0 120b = 0 + -96b 120b = -96b Solving 120b = -96b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '96b' to each side of the equation. 120b + 96b = -96b + 96b Combine like terms: 120b + 96b = 216b 216b = -96b + 96b Combine like terms: -96b + 96b = 0 216b = 0 Divide each side by '216'. b = 0 Simplifying b = 0
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