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Simplifying 2b + 3 + 4b + 6 + 12b + 18 = 477 Reorder the terms: 3 + 6 + 18 + 2b + 4b + 12b = 477 Combine like terms: 3 + 6 = 9 9 + 18 + 2b + 4b + 12b = 477 Combine like terms: 9 + 18 = 27 27 + 2b + 4b + 12b = 477 Combine like terms: 2b + 4b = 6b 27 + 6b + 12b = 477 Combine like terms: 6b + 12b = 18b 27 + 18b = 477 Solving 27 + 18b = 477 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 18b = 477 + -27 Combine like terms: 27 + -27 = 0 0 + 18b = 477 + -27 18b = 477 + -27 Combine like terms: 477 + -27 = 450 18b = 450 Divide each side by '18'. b = 25 Simplifying b = 25
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