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Simplifying 3(2b + 1) + 2(2b + 4) = 0 Reorder the terms: 3(1 + 2b) + 2(2b + 4) = 0 (1 * 3 + 2b * 3) + 2(2b + 4) = 0 (3 + 6b) + 2(2b + 4) = 0 Reorder the terms: 3 + 6b + 2(4 + 2b) = 0 3 + 6b + (4 * 2 + 2b * 2) = 0 3 + 6b + (8 + 4b) = 0 Reorder the terms: 3 + 8 + 6b + 4b = 0 Combine like terms: 3 + 8 = 11 11 + 6b + 4b = 0 Combine like terms: 6b + 4b = 10b 11 + 10b = 0 Solving 11 + 10b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 10b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 10b = 0 + -11 10b = 0 + -11 Combine like terms: 0 + -11 = -11 10b = -11 Divide each side by '10'. b = -1.1 Simplifying b = -1.1
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