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Simplifying 2(b + 12) = 78 Reorder the terms: 2(12 + b) = 78 (12 * 2 + b * 2) = 78 (24 + 2b) = 78 Solving 24 + 2b = 78 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 + 2b = 78 + -24 Combine like terms: 24 + -24 = 0 0 + 2b = 78 + -24 2b = 78 + -24 Combine like terms: 78 + -24 = 54 2b = 54 Divide each side by '2'. b = 27 Simplifying b = 27
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