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Simplifying 3(4d + 2) + -8d + 25 = 51 Reorder the terms: 3(2 + 4d) + -8d + 25 = 51 (2 * 3 + 4d * 3) + -8d + 25 = 51 (6 + 12d) + -8d + 25 = 51 Reorder the terms: 6 + 25 + 12d + -8d = 51 Combine like terms: 6 + 25 = 31 31 + 12d + -8d = 51 Combine like terms: 12d + -8d = 4d 31 + 4d = 51 Solving 31 + 4d = 51 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 4d = 51 + -31 Combine like terms: 31 + -31 = 0 0 + 4d = 51 + -31 4d = 51 + -31 Combine like terms: 51 + -31 = 20 4d = 20 Divide each side by '4'. d = 5 Simplifying d = 5
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