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Simplifying 12d + 8 = 9d + 17 Reorder the terms: 8 + 12d = 9d + 17 Reorder the terms: 8 + 12d = 17 + 9d Solving 8 + 12d = 17 + 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. 8 + 12d + -9d = 17 + 9d + -9d Combine like terms: 12d + -9d = 3d 8 + 3d = 17 + 9d + -9d Combine like terms: 9d + -9d = 0 8 + 3d = 17 + 0 8 + 3d = 17 Add '-8' to each side of the equation. 8 + -8 + 3d = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 3d = 17 + -8 3d = 17 + -8 Combine like terms: 17 + -8 = 9 3d = 9 Divide each side by '3'. d = 3 Simplifying d = 3
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