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Simplifying 8d + 17 = 5d + -52 Reorder the terms: 17 + 8d = 5d + -52 Reorder the terms: 17 + 8d = -52 + 5d Solving 17 + 8d = -52 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 17 + 8d + -5d = -52 + 5d + -5d Combine like terms: 8d + -5d = 3d 17 + 3d = -52 + 5d + -5d Combine like terms: 5d + -5d = 0 17 + 3d = -52 + 0 17 + 3d = -52 Add '-17' to each side of the equation. 17 + -17 + 3d = -52 + -17 Combine like terms: 17 + -17 = 0 0 + 3d = -52 + -17 3d = -52 + -17 Combine like terms: -52 + -17 = -69 3d = -69 Divide each side by '3'. d = -23 Simplifying d = -23
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