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Simplifying 3(b + 7) + 5(2b + 1) = 91 Reorder the terms: 3(7 + b) + 5(2b + 1) = 91 (7 * 3 + b * 3) + 5(2b + 1) = 91 (21 + 3b) + 5(2b + 1) = 91 Reorder the terms: 21 + 3b + 5(1 + 2b) = 91 21 + 3b + (1 * 5 + 2b * 5) = 91 21 + 3b + (5 + 10b) = 91 Reorder the terms: 21 + 5 + 3b + 10b = 91 Combine like terms: 21 + 5 = 26 26 + 3b + 10b = 91 Combine like terms: 3b + 10b = 13b 26 + 13b = 91 Solving 26 + 13b = 91 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 = 91 + -26 Combine like terms: 26 + -26 = 0 0 + 13b = 91 + -26 13b = 91 + -26 Combine like terms: 91 + -26 = 65 13b = 65 Divide each side by '13'. b = 5 Simplifying b = 5
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