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Simplifying 10d + -2d + 1 = -9 + 9d Reorder the terms: 1 + 10d + -2d = -9 + 9d Combine like terms: 10d + -2d = 8d 1 + 8d = -9 + 9d Solving 1 + 8d = -9 + 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 + 8d + -9d = -9 + 9d + -9d Combine like terms: 8d + -9d = -1d 1 + -1d = -9 + 9d + -9d Combine like terms: 9d + -9d = 0 1 + -1d = -9 + 0 1 + -1d = -9 Add '-1' to each side of the equation. 1 + -1 + -1d = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -1d = -9 + -1 -1d = -9 + -1 Combine like terms: -9 + -1 = -10 -1d = -10 Divide each side by '-1'. d = 10 Simplifying d = 10
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