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Simplifying 10d + 2 = 9d + 3 Reorder the terms: 2 + 10d = 9d + 3 Reorder the terms: 2 + 10d = 3 + 9d Solving 2 + 10d = 3 + 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. 2 + 10d + -9d = 3 + 9d + -9d Combine like terms: 10d + -9d = 1d 2 + 1d = 3 + 9d + -9d Combine like terms: 9d + -9d = 0 2 + 1d = 3 + 0 2 + 1d = 3 Add '-2' to each side of the equation. 2 + -2 + 1d = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 1d = 3 + -2 1d = 3 + -2 Combine like terms: 3 + -2 = 1 1d = 1 Divide each side by '1'. d = 1 Simplifying d = 1
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