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Simplifying 3(b + 7) + 5(2b + 1) = 0 Reorder the terms: 3(7 + b) + 5(2b + 1) = 0 (7 * 3 + b * 3) + 5(2b + 1) = 0 (21 + 3b) + 5(2b + 1) = 0 Reorder the terms: 21 + 3b + 5(1 + 2b) = 0 21 + 3b + (1 * 5 + 2b * 5) = 0 21 + 3b + (5 + 10b) = 0 Reorder the terms: 21 + 5 + 3b + 10b = 0 Combine like terms: 21 + 5 = 26 26 + 3b + 10b = 0 Combine like terms: 3b + 10b = 13b 26 + 13b = 0 Solving 26 + 13b = 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 + 13b = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 13b = 0 + -26 13b = 0 + -26 Combine like terms: 0 + -26 = -26 13b = -26 Divide each side by '13'. b = -2 Simplifying b = -2
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