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Simplifying 3(3b + 12) + 3(b + 4) = 0 Reorder the terms: 3(12 + 3b) + 3(b + 4) = 0 (12 * 3 + 3b * 3) + 3(b + 4) = 0 (36 + 9b) + 3(b + 4) = 0 Reorder the terms: 36 + 9b + 3(4 + b) = 0 36 + 9b + (4 * 3 + b * 3) = 0 36 + 9b + (12 + 3b) = 0 Reorder the terms: 36 + 12 + 9b + 3b = 0 Combine like terms: 36 + 12 = 48 48 + 9b + 3b = 0 Combine like terms: 9b + 3b = 12b 48 + 12b = 0 Solving 48 + 12b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 12b = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 12b = 0 + -48 12b = 0 + -48 Combine like terms: 0 + -48 = -48 12b = -48 Divide each side by '12'. b = -4 Simplifying b = -4
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