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Simplifying 2(8b + 12) = 62 Reorder the terms: 2(12 + 8b) = 62 (12 * 2 + 8b * 2) = 62 (24 + 16b) = 62 Solving 24 + 16b = 62 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 = 62 + -24 Combine like terms: 24 + -24 = 0 0 + 16b = 62 + -24 16b = 62 + -24 Combine like terms: 62 + -24 = 38 16b = 38 Divide each side by '16'. b = 2.375 Simplifying b = 2.375
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