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Simplifying 4d + 4d + -4d + -4d + 3d + 2 = 17 Reorder the terms: 2 + 4d + 4d + -4d + -4d + 3d = 17 Combine like terms: 4d + 4d = 8d 2 + 8d + -4d + -4d + 3d = 17 Combine like terms: 8d + -4d = 4d 2 + 4d + -4d + 3d = 17 Combine like terms: 4d + -4d = 0 2 + 0 + 3d = 17 2 + 3d = 17 Solving 2 + 3d = 17 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3d = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 3d = 17 + -2 3d = 17 + -2 Combine like terms: 17 + -2 = 15 3d = 15 Divide each side by '3'. d = 5 Simplifying d = 5
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