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Simplifying 8d + 9 = 7d + 10 Reorder the terms: 9 + 8d = 7d + 10 Reorder the terms: 9 + 8d = 10 + 7d Solving 9 + 8d = 10 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 9 + 8d + -7d = 10 + 7d + -7d Combine like terms: 8d + -7d = 1d 9 + 1d = 10 + 7d + -7d Combine like terms: 7d + -7d = 0 9 + 1d = 10 + 0 9 + 1d = 10 Add '-9' to each side of the equation. 9 + -9 + 1d = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 1d = 10 + -9 1d = 10 + -9 Combine like terms: 10 + -9 = 1 1d = 1 Divide each side by '1'. d = 1 Simplifying d = 1
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