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Simplifying 2b + 3 + 2(2b + 3) + 3(2b + 3) = 477 Reorder the terms: 2b + 3 + 2(3 + 2b) + 3(2b + 3) = 477 2b + 3 + (3 * 2 + 2b * 2) + 3(2b + 3) = 477 2b + 3 + (6 + 4b) + 3(2b + 3) = 477 Reorder the terms: 2b + 3 + 6 + 4b + 3(3 + 2b) = 477 2b + 3 + 6 + 4b + (3 * 3 + 2b * 3) = 477 2b + 3 + 6 + 4b + (9 + 6b) = 477 Reorder the terms: 3 + 6 + 9 + 2b + 4b + 6b = 477 Combine like terms: 3 + 6 = 9 9 + 9 + 2b + 4b + 6b = 477 Combine like terms: 9 + 9 = 18 18 + 2b + 4b + 6b = 477 Combine like terms: 2b + 4b = 6b 18 + 6b + 6b = 477 Combine like terms: 6b + 6b = 12b 18 + 12b = 477 Solving 18 + 12b = 477 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 12b = 477 + -18 Combine like terms: 18 + -18 = 0 0 + 12b = 477 + -18 12b = 477 + -18 Combine like terms: 477 + -18 = 459 12b = 459 Divide each side by '12'. b = 38.25 Simplifying b = 38.25
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