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Simplifying 8d + 3(2d + 7) = 71 Reorder the terms: 8d + 3(7 + 2d) = 71 8d + (7 * 3 + 2d * 3) = 71 8d + (21 + 6d) = 71 Reorder the terms: 21 + 8d + 6d = 71 Combine like terms: 8d + 6d = 14d 21 + 14d = 71 Solving 21 + 14d = 71 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 14d = 71 + -21 Combine like terms: 21 + -21 = 0 0 + 14d = 71 + -21 14d = 71 + -21 Combine like terms: 71 + -21 = 50 14d = 50 Divide each side by '14'. d = 3.571428571 Simplifying d = 3.571428571
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