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Simplifying 8d + 1 = 5d + 9 Reorder the terms: 1 + 8d = 5d + 9 Reorder the terms: 1 + 8d = 9 + 5d Solving 1 + 8d = 9 + 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 + 8d + -5d = 9 + 5d + -5d Combine like terms: 8d + -5d = 3d 1 + 3d = 9 + 5d + -5d Combine like terms: 5d + -5d = 0 1 + 3d = 9 + 0 1 + 3d = 9 Add '-1' to each side of the equation. 1 + -1 + 3d = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 3d = 9 + -1 3d = 9 + -1 Combine like terms: 9 + -1 = 8 3d = 8 Divide each side by '3'. d = 2.666666667 Simplifying d = 2.666666667
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