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Simplifying 2(b + 6) = 450 Reorder the terms: 2(6 + b) = 450 (6 * 2 + b * 2) = 450 (12 + 2b) = 450 Solving 12 + 2b = 450 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 + 2b = 450 + -12 Combine like terms: 12 + -12 = 0 0 + 2b = 450 + -12 2b = 450 + -12 Combine like terms: 450 + -12 = 438 2b = 438 Divide each side by '2'. b = 219 Simplifying b = 219
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