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Simplifying 8d + -1d + -2d + 5 = 2d Reorder the terms: 5 + 8d + -1d + -2d = 2d Combine like terms: 8d + -1d = 7d 5 + 7d + -2d = 2d Combine like terms: 7d + -2d = 5d 5 + 5d = 2d Solving 5 + 5d = 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 5 + 5d + -2d = 2d + -2d Combine like terms: 5d + -2d = 3d 5 + 3d = 2d + -2d Combine like terms: 2d + -2d = 0 5 + 3d = 0 Add '-5' to each side of the equation. 5 + -5 + 3d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3d = 0 + -5 3d = 0 + -5 Combine like terms: 0 + -5 = -5 3d = -5 Divide each side by '3'. d = -1.666666667 Simplifying d = -1.666666667
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