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Simplifying 2(4b + 6) = 477 Reorder the terms: 2(6 + 4b) = 477 (6 * 2 + 4b * 2) = 477 (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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