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Simplifying 1.5(3d + 12 + 5d) = 30 Reorder the terms: 1.5(12 + 3d + 5d) = 30 Combine like terms: 3d + 5d = 8d 1.5(12 + 8d) = 30 (12 * 1.5 + 8d * 1.5) = 30 (18 + 12d) = 30 Solving 18 + 12d = 30 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 12d = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 12d = 30 + -18 12d = 30 + -18 Combine like terms: 30 + -18 = 12 12d = 12 Divide each side by '12'. d = 1 Simplifying d = 1
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