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Simplifying 10d + 5 = 9d + 8 Reorder the terms: 5 + 10d = 9d + 8 Reorder the terms: 5 + 10d = 8 + 9d Solving 5 + 10d = 8 + 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. 5 + 10d + -9d = 8 + 9d + -9d Combine like terms: 10d + -9d = 1d 5 + 1d = 8 + 9d + -9d Combine like terms: 9d + -9d = 0 5 + 1d = 8 + 0 5 + 1d = 8 Add '-5' to each side of the equation. 5 + -5 + 1d = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1d = 8 + -5 1d = 8 + -5 Combine like terms: 8 + -5 = 3 1d = 3 Divide each side by '1'. d = 3 Simplifying d = 3
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