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Simplifying -3(5d + -6) = 2d + -17 Reorder the terms: -3(-6 + 5d) = 2d + -17 (-6 * -3 + 5d * -3) = 2d + -17 (18 + -15d) = 2d + -17 Reorder the terms: 18 + -15d = -17 + 2d Solving 18 + -15d = -17 + 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. 18 + -15d + -2d = -17 + 2d + -2d Combine like terms: -15d + -2d = -17d 18 + -17d = -17 + 2d + -2d Combine like terms: 2d + -2d = 0 18 + -17d = -17 + 0 18 + -17d = -17 Add '-18' to each side of the equation. 18 + -18 + -17d = -17 + -18 Combine like terms: 18 + -18 = 0 0 + -17d = -17 + -18 -17d = -17 + -18 Combine like terms: -17 + -18 = -35 -17d = -35 Divide each side by '-17'. d = 2.058823529 Simplifying d = 2.058823529
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