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Simplifying 9d + d + -2d + 9 = 5d Reorder the terms: 9 + 9d + d + -2d = 5d Combine like terms: 9d + d = 10d 9 + 10d + -2d = 5d Combine like terms: 10d + -2d = 8d 9 + 8d = 5d Solving 9 + 8d = 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 9 + 8d + -5d = 5d + -5d Combine like terms: 8d + -5d = 3d 9 + 3d = 5d + -5d Combine like terms: 5d + -5d = 0 9 + 3d = 0 Add '-9' to each side of the equation. 9 + -9 + 3d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 3d = 0 + -9 3d = 0 + -9 Combine like terms: 0 + -9 = -9 3d = -9 Divide each side by '3'. d = -3 Simplifying d = -3
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