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Simplifying 12(b + 12) + 6 = 9b Reorder the terms: 12(12 + b) + 6 = 9b (12 * 12 + b * 12) + 6 = 9b (144 + 12b) + 6 = 9b Reorder the terms: 144 + 6 + 12b = 9b Combine like terms: 144 + 6 = 150 150 + 12b = 9b Solving 150 + 12b = 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 150 + 12b + -9b = 9b + -9b Combine like terms: 12b + -9b = 3b 150 + 3b = 9b + -9b Combine like terms: 9b + -9b = 0 150 + 3b = 0 Add '-150' to each side of the equation. 150 + -150 + 3b = 0 + -150 Combine like terms: 150 + -150 = 0 0 + 3b = 0 + -150 3b = 0 + -150 Combine like terms: 0 + -150 = -150 3b = -150 Divide each side by '3'. b = -50 Simplifying b = -50
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