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Simplifying 3(4d + 12) + 2(3d + 5) = d Reorder the terms: 3(12 + 4d) + 2(3d + 5) = d (12 * 3 + 4d * 3) + 2(3d + 5) = d (36 + 12d) + 2(3d + 5) = d Reorder the terms: 36 + 12d + 2(5 + 3d) = d 36 + 12d + (5 * 2 + 3d * 2) = d 36 + 12d + (10 + 6d) = d Reorder the terms: 36 + 10 + 12d + 6d = d Combine like terms: 36 + 10 = 46 46 + 12d + 6d = d Combine like terms: 12d + 6d = 18d 46 + 18d = d Solving 46 + 18d = d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 46 + 18d + -1d = d + -1d Combine like terms: 18d + -1d = 17d 46 + 17d = d + -1d Combine like terms: d + -1d = 0 46 + 17d = 0 Add '-46' to each side of the equation. 46 + -46 + 17d = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 17d = 0 + -46 17d = 0 + -46 Combine like terms: 0 + -46 = -46 17d = -46 Divide each side by '17'. d = -2.705882353 Simplifying d = -2.705882353
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