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Simplifying 0.5(6d + 10) = 17 Reorder the terms: 0.5(10 + 6d) = 17 (10 * 0.5 + 6d * 0.5) = 17 (5 + 3d) = 17 Solving 5 + 3d = 17 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 = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 3d = 17 + -5 3d = 17 + -5 Combine like terms: 17 + -5 = 12 3d = 12 Divide each side by '3'. d = 4 Simplifying d = 4
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