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Simplifying 3d + -3 + 8 + d + -1d = 9 + 9 + 1 Reorder the terms: -3 + 8 + 3d + d + -1d = 9 + 9 + 1 Combine like terms: -3 + 8 = 5 5 + 3d + d + -1d = 9 + 9 + 1 Combine like terms: 3d + d = 4d 5 + 4d + -1d = 9 + 9 + 1 Combine like terms: 4d + -1d = 3d 5 + 3d = 9 + 9 + 1 Combine like terms: 9 + 9 = 18 5 + 3d = 18 + 1 Combine like terms: 18 + 1 = 19 5 + 3d = 19 Solving 5 + 3d = 19 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3d = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 3d = 19 + -5 3d = 19 + -5 Combine like terms: 19 + -5 = 14 3d = 14 Divide each side by '3'. d = 4.666666667 Simplifying d = 4.666666667
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