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Simplifying 2(-2d + 6d + 3) + 9d = 0 Reorder the terms: 2(3 + -2d + 6d) + 9d = 0 Combine like terms: -2d + 6d = 4d 2(3 + 4d) + 9d = 0 (3 * 2 + 4d * 2) + 9d = 0 (6 + 8d) + 9d = 0 Combine like terms: 8d + 9d = 17d 6 + 17d = 0 Solving 6 + 17d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 17d = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 17d = 0 + -6 17d = 0 + -6 Combine like terms: 0 + -6 = -6 17d = -6 Divide each side by '17'. d = -0.3529411765 Simplifying d = -0.3529411765
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