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Simplifying -12d + -6(-6d + -17) = 7d Reorder the terms: -12d + -6(-17 + -6d) = 7d -12d + (-17 * -6 + -6d * -6) = 7d -12d + (102 + 36d) = 7d Reorder the terms: 102 + -12d + 36d = 7d Combine like terms: -12d + 36d = 24d 102 + 24d = 7d Solving 102 + 24d = 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 102 + 24d + -7d = 7d + -7d Combine like terms: 24d + -7d = 17d 102 + 17d = 7d + -7d Combine like terms: 7d + -7d = 0 102 + 17d = 0 Add '-102' to each side of the equation. 102 + -102 + 17d = 0 + -102 Combine like terms: 102 + -102 = 0 0 + 17d = 0 + -102 17d = 0 + -102 Combine like terms: 0 + -102 = -102 17d = -102 Divide each side by '17'. d = -6 Simplifying d = -6
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