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