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Simplifying 10d + 7 = 8d + 17 Reorder the terms: 7 + 10d = 8d + 17 Reorder the terms: 7 + 10d = 17 + 8d Solving 7 + 10d = 17 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 7 + 10d + -8d = 17 + 8d + -8d Combine like terms: 10d + -8d = 2d 7 + 2d = 17 + 8d + -8d Combine like terms: 8d + -8d = 0 7 + 2d = 17 + 0 7 + 2d = 17 Add '-7' to each side of the equation. 7 + -7 + 2d = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 2d = 17 + -7 2d = 17 + -7 Combine like terms: 17 + -7 = 10 2d = 10 Divide each side by '2'. d = 5 Simplifying d = 5
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