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Simplifying 2b + 3 + (2b + 3) + 2(6b + 9) = 477 Reorder the terms: 2b + 3 + (3 + 2b) + 2(6b + 9) = 477 Remove parenthesis around (3 + 2b) 2b + 3 + 3 + 2b + 2(6b + 9) = 477 Reorder the terms: 2b + 3 + 3 + 2b + 2(9 + 6b) = 477 2b + 3 + 3 + 2b + (9 * 2 + 6b * 2) = 477 2b + 3 + 3 + 2b + (18 + 12b) = 477 Reorder the terms: 3 + 3 + 18 + 2b + 2b + 12b = 477 Combine like terms: 3 + 3 = 6 6 + 18 + 2b + 2b + 12b = 477 Combine like terms: 6 + 18 = 24 24 + 2b + 2b + 12b = 477 Combine like terms: 2b + 2b = 4b 24 + 4b + 12b = 477 Combine like terms: 4b + 12b = 16b 24 + 16b = 477 Solving 24 + 16b = 477 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 16b = 477 + -24 Combine like terms: 24 + -24 = 0 0 + 16b = 477 + -24 16b = 477 + -24 Combine like terms: 477 + -24 = 453 16b = 453 Divide each side by '16'. b = 28.3125 Simplifying b = 28.3125
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