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Simplifying 2(b + 9) + 13 = 47 Reorder the terms: 2(9 + b) + 13 = 47 (9 * 2 + b * 2) + 13 = 47 (18 + 2b) + 13 = 47 Reorder the terms: 18 + 13 + 2b = 47 Combine like terms: 18 + 13 = 31 31 + 2b = 47 Solving 31 + 2b = 47 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 2b = 47 + -31 Combine like terms: 31 + -31 = 0 0 + 2b = 47 + -31 2b = 47 + -31 Combine like terms: 47 + -31 = 16 2b = 16 Divide each side by '2'. b = 8 Simplifying b = 8
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