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Simplifying 2(8b + 12) = 46 Reorder the terms: 2(12 + 8b) = 46 (12 * 2 + 8b * 2) = 46 (24 + 16b) = 46 Solving 24 + 16b = 46 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 = 46 + -24 Combine like terms: 24 + -24 = 0 0 + 16b = 46 + -24 16b = 46 + -24 Combine like terms: 46 + -24 = 22 16b = 22 Divide each side by '16'. b = 1.375 Simplifying b = 1.375
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