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Simplifying 12(1 + 4b) = 9(6b + 12) (1 * 12 + 4b * 12) = 9(6b + 12) (12 + 48b) = 9(6b + 12) Reorder the terms: 12 + 48b = 9(12 + 6b) 12 + 48b = (12 * 9 + 6b * 9) 12 + 48b = (108 + 54b) Solving 12 + 48b = 108 + 54b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-54b' to each side of the equation. 12 + 48b + -54b = 108 + 54b + -54b Combine like terms: 48b + -54b = -6b 12 + -6b = 108 + 54b + -54b Combine like terms: 54b + -54b = 0 12 + -6b = 108 + 0 12 + -6b = 108 Add '-12' to each side of the equation. 12 + -12 + -6b = 108 + -12 Combine like terms: 12 + -12 = 0 0 + -6b = 108 + -12 -6b = 108 + -12 Combine like terms: 108 + -12 = 96 -6b = 96 Divide each side by '-6'. b = -16 Simplifying b = -16
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