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Simplifying 2(b + 3) + 3(2b + -1) = 0 Reorder the terms: 2(3 + b) + 3(2b + -1) = 0 (3 * 2 + b * 2) + 3(2b + -1) = 0 (6 + 2b) + 3(2b + -1) = 0 Reorder the terms: 6 + 2b + 3(-1 + 2b) = 0 6 + 2b + (-1 * 3 + 2b * 3) = 0 6 + 2b + (-3 + 6b) = 0 Reorder the terms: 6 + -3 + 2b + 6b = 0 Combine like terms: 6 + -3 = 3 3 + 2b + 6b = 0 Combine like terms: 2b + 6b = 8b 3 + 8b = 0 Solving 3 + 8b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8b = 0 + -3 8b = 0 + -3 Combine like terms: 0 + -3 = -3 8b = -3 Divide each side by '8'. b = -0.375 Simplifying b = -0.375
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