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Simplifying 3(d + 5) + 7(2d + 9) = 0 Reorder the terms: 3(5 + d) + 7(2d + 9) = 0 (5 * 3 + d * 3) + 7(2d + 9) = 0 (15 + 3d) + 7(2d + 9) = 0 Reorder the terms: 15 + 3d + 7(9 + 2d) = 0 15 + 3d + (9 * 7 + 2d * 7) = 0 15 + 3d + (63 + 14d) = 0 Reorder the terms: 15 + 63 + 3d + 14d = 0 Combine like terms: 15 + 63 = 78 78 + 3d + 14d = 0 Combine like terms: 3d + 14d = 17d 78 + 17d = 0 Solving 78 + 17d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 17d = 0 + -78 Combine like terms: 78 + -78 = 0 0 + 17d = 0 + -78 17d = 0 + -78 Combine like terms: 0 + -78 = -78 17d = -78 Divide each side by '17'. d = -4.588235294 Simplifying d = -4.588235294
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