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Simplifying 2b + 3 + 2(2b + 3) + 4(2b + 3) = 477 Reorder the terms: 2b + 3 + 2(3 + 2b) + 4(2b + 3) = 477 2b + 3 + (3 * 2 + 2b * 2) + 4(2b + 3) = 477 2b + 3 + (6 + 4b) + 4(2b + 3) = 477 Reorder the terms: 2b + 3 + 6 + 4b + 4(3 + 2b) = 477 2b + 3 + 6 + 4b + (3 * 4 + 2b * 4) = 477 2b + 3 + 6 + 4b + (12 + 8b) = 477 Reorder the terms: 3 + 6 + 12 + 2b + 4b + 8b = 477 Combine like terms: 3 + 6 = 9 9 + 12 + 2b + 4b + 8b = 477 Combine like terms: 9 + 12 = 21 21 + 2b + 4b + 8b = 477 Combine like terms: 2b + 4b = 6b 21 + 6b + 8b = 477 Combine like terms: 6b + 8b = 14b 21 + 14b = 477 Solving 21 + 14b = 477 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 14b = 477 + -21 Combine like terms: 21 + -21 = 0 0 + 14b = 477 + -21 14b = 477 + -21 Combine like terms: 477 + -21 = 456 14b = 456 Divide each side by '14'. b = 32.57142857 Simplifying b = 32.57142857
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