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Simplifying 12(b + 12) + 6 = 9(b + -2) + 9b Reorder the terms: 12(12 + b) + 6 = 9(b + -2) + 9b (12 * 12 + b * 12) + 6 = 9(b + -2) + 9b (144 + 12b) + 6 = 9(b + -2) + 9b Reorder the terms: 144 + 6 + 12b = 9(b + -2) + 9b Combine like terms: 144 + 6 = 150 150 + 12b = 9(b + -2) + 9b Reorder the terms: 150 + 12b = 9(-2 + b) + 9b 150 + 12b = (-2 * 9 + b * 9) + 9b 150 + 12b = (-18 + 9b) + 9b Combine like terms: 9b + 9b = 18b 150 + 12b = -18 + 18b Solving 150 + 12b = -18 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. 150 + 12b + -18b = -18 + 18b + -18b Combine like terms: 12b + -18b = -6b 150 + -6b = -18 + 18b + -18b Combine like terms: 18b + -18b = 0 150 + -6b = -18 + 0 150 + -6b = -18 Add '-150' to each side of the equation. 150 + -150 + -6b = -18 + -150 Combine like terms: 150 + -150 = 0 0 + -6b = -18 + -150 -6b = -18 + -150 Combine like terms: -18 + -150 = -168 -6b = -168 Divide each side by '-6'. b = 28 Simplifying b = 28
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