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Simplifying 17d + 6 = 9d + 38 Reorder the terms: 6 + 17d = 9d + 38 Reorder the terms: 6 + 17d = 38 + 9d Solving 6 + 17d = 38 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 6 + 17d + -9d = 38 + 9d + -9d Combine like terms: 17d + -9d = 8d 6 + 8d = 38 + 9d + -9d Combine like terms: 9d + -9d = 0 6 + 8d = 38 + 0 6 + 8d = 38 Add '-6' to each side of the equation. 6 + -6 + 8d = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 8d = 38 + -6 8d = 38 + -6 Combine like terms: 38 + -6 = 32 8d = 32 Divide each side by '8'. d = 4 Simplifying d = 4
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