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Simplifying (2b + 3) * 2 + 2(2b + 3) = 477 Reorder the terms: (3 + 2b) * 2 + 2(2b + 3) = 477 Reorder the terms for easier multiplication: 2(3 + 2b) + 2(2b + 3) = 477 (3 * 2 + 2b * 2) + 2(2b + 3) = 477 (6 + 4b) + 2(2b + 3) = 477 Reorder the terms: 6 + 4b + 2(3 + 2b) = 477 6 + 4b + (3 * 2 + 2b * 2) = 477 6 + 4b + (6 + 4b) = 477 Reorder the terms: 6 + 6 + 4b + 4b = 477 Combine like terms: 6 + 6 = 12 12 + 4b + 4b = 477 Combine like terms: 4b + 4b = 8b 12 + 8b = 477 Solving 12 + 8b = 477 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8b = 477 + -12 Combine like terms: 12 + -12 = 0 0 + 8b = 477 + -12 8b = 477 + -12 Combine like terms: 477 + -12 = 465 8b = 465 Divide each side by '8'. b = 58.125 Simplifying b = 58.125
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