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Simplifying 2(2b + 7) + 2(1 + 2b) = 20 Reorder the terms: 2(7 + 2b) + 2(1 + 2b) = 20 (7 * 2 + 2b * 2) + 2(1 + 2b) = 20 (14 + 4b) + 2(1 + 2b) = 20 14 + 4b + (1 * 2 + 2b * 2) = 20 14 + 4b + (2 + 4b) = 20 Reorder the terms: 14 + 2 + 4b + 4b = 20 Combine like terms: 14 + 2 = 16 16 + 4b + 4b = 20 Combine like terms: 4b + 4b = 8b 16 + 8b = 20 Solving 16 + 8b = 20 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 8b = 20 + -16 Combine like terms: 16 + -16 = 0 0 + 8b = 20 + -16 8b = 20 + -16 Combine like terms: 20 + -16 = 4 8b = 4 Divide each side by '8'. b = 0.5 Simplifying b = 0.5
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