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Simplifying 4(b + 2) + 2(b + 9) = 0 Reorder the terms: 4(2 + b) + 2(b + 9) = 0 (2 * 4 + b * 4) + 2(b + 9) = 0 (8 + 4b) + 2(b + 9) = 0 Reorder the terms: 8 + 4b + 2(9 + b) = 0 8 + 4b + (9 * 2 + b * 2) = 0 8 + 4b + (18 + 2b) = 0 Reorder the terms: 8 + 18 + 4b + 2b = 0 Combine like terms: 8 + 18 = 26 26 + 4b + 2b = 0 Combine like terms: 4b + 2b = 6b 26 + 6b = 0 Solving 26 + 6b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 6b = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 6b = 0 + -26 6b = 0 + -26 Combine like terms: 0 + -26 = -26 6b = -26 Divide each side by '6'. b = -4.333333333 Simplifying b = -4.333333333
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