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Simplifying 12(b + 12) + 6 = (b + -2) + 9b Reorder the terms: 12(12 + b) + 6 = (b + -2) + 9b (12 * 12 + b * 12) + 6 = (b + -2) + 9b (144 + 12b) + 6 = (b + -2) + 9b Reorder the terms: 144 + 6 + 12b = (b + -2) + 9b Combine like terms: 144 + 6 = 150 150 + 12b = (b + -2) + 9b Reorder the terms: 150 + 12b = (-2 + b) + 9b Remove parenthesis around (-2 + b) 150 + 12b = -2 + b + 9b Combine like terms: b + 9b = 10b 150 + 12b = -2 + 10b Solving 150 + 12b = -2 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. 150 + 12b + -10b = -2 + 10b + -10b Combine like terms: 12b + -10b = 2b 150 + 2b = -2 + 10b + -10b Combine like terms: 10b + -10b = 0 150 + 2b = -2 + 0 150 + 2b = -2 Add '-150' to each side of the equation. 150 + -150 + 2b = -2 + -150 Combine like terms: 150 + -150 = 0 0 + 2b = -2 + -150 2b = -2 + -150 Combine like terms: -2 + -150 = -152 2b = -152 Divide each side by '2'. b = -76 Simplifying b = -76
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