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Simplifying 10d + 7 = 9d + 17 Reorder the terms: 7 + 10d = 9d + 17 Reorder the terms: 7 + 10d = 17 + 9d Solving 7 + 10d = 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. 7 + 10d + -9d = 17 + 9d + -9d Combine like terms: 10d + -9d = 1d 7 + 1d = 17 + 9d + -9d Combine like terms: 9d + -9d = 0 7 + 1d = 17 + 0 7 + 1d = 17 Add '-7' to each side of the equation. 7 + -7 + 1d = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 1d = 17 + -7 1d = 17 + -7 Combine like terms: 17 + -7 = 10 1d = 10 Divide each side by '1'. d = 10 Simplifying d = 10
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