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Simplifying 7d + -1d + 2d + 8 + -5d = 0 Reorder the terms: 8 + 7d + -1d + 2d + -5d = 0 Combine like terms: 7d + -1d = 6d 8 + 6d + 2d + -5d = 0 Combine like terms: 6d + 2d = 8d 8 + 8d + -5d = 0 Combine like terms: 8d + -5d = 3d 8 + 3d = 0 Solving 8 + 3d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3d = 0 + -8 3d = 0 + -8 Combine like terms: 0 + -8 = -8 3d = -8 Divide each side by '3'. d = -2.666666667 Simplifying d = -2.666666667
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