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Simplifying 12(10b + 12) = 12(7b + 6) Reorder the terms: 12(12 + 10b) = 12(7b + 6) (12 * 12 + 10b * 12) = 12(7b + 6) (144 + 120b) = 12(7b + 6) Reorder the terms: 144 + 120b = 12(6 + 7b) 144 + 120b = (6 * 12 + 7b * 12) 144 + 120b = (72 + 84b) Solving 144 + 120b = 72 + 84b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-84b' to each side of the equation. 144 + 120b + -84b = 72 + 84b + -84b Combine like terms: 120b + -84b = 36b 144 + 36b = 72 + 84b + -84b Combine like terms: 84b + -84b = 0 144 + 36b = 72 + 0 144 + 36b = 72 Add '-144' to each side of the equation. 144 + -144 + 36b = 72 + -144 Combine like terms: 144 + -144 = 0 0 + 36b = 72 + -144 36b = 72 + -144 Combine like terms: 72 + -144 = -72 36b = -72 Divide each side by '36'. b = -2 Simplifying b = -2
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