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Simplifying 9d + -2d + -1d + 8 = 5d Reorder the terms: 8 + 9d + -2d + -1d = 5d Combine like terms: 9d + -2d = 7d 8 + 7d + -1d = 5d Combine like terms: 7d + -1d = 6d 8 + 6d = 5d Solving 8 + 6d = 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. 8 + 6d + -5d = 5d + -5d Combine like terms: 6d + -5d = 1d 8 + 1d = 5d + -5d Combine like terms: 5d + -5d = 0 8 + 1d = 0 Add '-8' to each side of the equation. 8 + -8 + 1d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1d = 0 + -8 1d = 0 + -8 Combine like terms: 0 + -8 = -8 1d = -8 Divide each side by '1'. d = -8 Simplifying d = -8
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