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Simplifying 10d + 1 = 9d + 5 Reorder the terms: 1 + 10d = 9d + 5 Reorder the terms: 1 + 10d = 5 + 9d Solving 1 + 10d = 5 + 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. 1 + 10d + -9d = 5 + 9d + -9d Combine like terms: 10d + -9d = 1d 1 + 1d = 5 + 9d + -9d Combine like terms: 9d + -9d = 0 1 + 1d = 5 + 0 1 + 1d = 5 Add '-1' to each side of the equation. 1 + -1 + 1d = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 1d = 5 + -1 1d = 5 + -1 Combine like terms: 5 + -1 = 4 1d = 4 Divide each side by '1'. d = 4 Simplifying d = 4
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