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Simplifying 3(b + 3) + 4(b + 2) + b = 89 Reorder the terms: 3(3 + b) + 4(b + 2) + b = 89 (3 * 3 + b * 3) + 4(b + 2) + b = 89 (9 + 3b) + 4(b + 2) + b = 89 Reorder the terms: 9 + 3b + 4(2 + b) + b = 89 9 + 3b + (2 * 4 + b * 4) + b = 89 9 + 3b + (8 + 4b) + b = 89 Reorder the terms: 9 + 8 + 3b + 4b + b = 89 Combine like terms: 9 + 8 = 17 17 + 3b + 4b + b = 89 Combine like terms: 3b + 4b = 7b 17 + 7b + b = 89 Combine like terms: 7b + b = 8b 17 + 8b = 89 Solving 17 + 8b = 89 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 8b = 89 + -17 Combine like terms: 17 + -17 = 0 0 + 8b = 89 + -17 8b = 89 + -17 Combine like terms: 89 + -17 = 72 8b = 72 Divide each side by '8'. b = 9 Simplifying b = 9
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