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Simplifying 2(2b + 3) + 2b + 3 = 477 Reorder the terms: 2(3 + 2b) + 2b + 3 = 477 (3 * 2 + 2b * 2) + 2b + 3 = 477 (6 + 4b) + 2b + 3 = 477 Reorder the terms: 6 + 3 + 4b + 2b = 477 Combine like terms: 6 + 3 = 9 9 + 4b + 2b = 477 Combine like terms: 4b + 2b = 6b 9 + 6b = 477 Solving 9 + 6b = 477 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6b = 477 + -9 Combine like terms: 9 + -9 = 0 0 + 6b = 477 + -9 6b = 477 + -9 Combine like terms: 477 + -9 = 468 6b = 468 Divide each side by '6'. b = 78 Simplifying b = 78
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