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Simplifying D + 50 + 3(D + 50) = 1000 Reorder the terms: D + 50 + 3(50 + D) = 1000 D + 50 + (50 * 3 + D * 3) = 1000 D + 50 + (150 + 3D) = 1000 Reorder the terms: 50 + 150 + D + 3D = 1000 Combine like terms: 50 + 150 = 200 200 + D + 3D = 1000 Combine like terms: D + 3D = 4D 200 + 4D = 1000 Solving 200 + 4D = 1000 Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + 4D = 1000 + -200 Combine like terms: 200 + -200 = 0 0 + 4D = 1000 + -200 4D = 1000 + -200 Combine like terms: 1000 + -200 = 800 4D = 800 Divide each side by '4'. D = 200 Simplifying D = 200
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