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Simplifying 12(b + 12) + 6 = 9(b + -2) + 96 Reorder the terms: 12(12 + b) + 6 = 9(b + -2) + 96 (12 * 12 + b * 12) + 6 = 9(b + -2) + 96 (144 + 12b) + 6 = 9(b + -2) + 96 Reorder the terms: 144 + 6 + 12b = 9(b + -2) + 96 Combine like terms: 144 + 6 = 150 150 + 12b = 9(b + -2) + 96 Reorder the terms: 150 + 12b = 9(-2 + b) + 96 150 + 12b = (-2 * 9 + b * 9) + 96 150 + 12b = (-18 + 9b) + 96 Reorder the terms: 150 + 12b = -18 + 96 + 9b Combine like terms: -18 + 96 = 78 150 + 12b = 78 + 9b Solving 150 + 12b = 78 + 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 = 78 + 9b + -9b Combine like terms: 12b + -9b = 3b 150 + 3b = 78 + 9b + -9b Combine like terms: 9b + -9b = 0 150 + 3b = 78 + 0 150 + 3b = 78 Add '-150' to each side of the equation. 150 + -150 + 3b = 78 + -150 Combine like terms: 150 + -150 = 0 0 + 3b = 78 + -150 3b = 78 + -150 Combine like terms: 78 + -150 = -72 3b = -72 Divide each side by '3'. b = -24 Simplifying b = -24
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