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Simplifying 4(b + 5) + 3(2b + 1) = 0 Reorder the terms: 4(5 + b) + 3(2b + 1) = 0 (5 * 4 + b * 4) + 3(2b + 1) = 0 (20 + 4b) + 3(2b + 1) = 0 Reorder the terms: 20 + 4b + 3(1 + 2b) = 0 20 + 4b + (1 * 3 + 2b * 3) = 0 20 + 4b + (3 + 6b) = 0 Reorder the terms: 20 + 3 + 4b + 6b = 0 Combine like terms: 20 + 3 = 23 23 + 4b + 6b = 0 Combine like terms: 4b + 6b = 10b 23 + 10b = 0 Solving 23 + 10b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 10b = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 10b = 0 + -23 10b = 0 + -23 Combine like terms: 0 + -23 = -23 10b = -23 Divide each side by '10'. b = -2.3 Simplifying b = -2.3
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