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Simplifying -17d + 19 = -3(6d + -2) + 1 Reorder the terms: 19 + -17d = -3(6d + -2) + 1 Reorder the terms: 19 + -17d = -3(-2 + 6d) + 1 19 + -17d = (-2 * -3 + 6d * -3) + 1 19 + -17d = (6 + -18d) + 1 Reorder the terms: 19 + -17d = 6 + 1 + -18d Combine like terms: 6 + 1 = 7 19 + -17d = 7 + -18d Solving 19 + -17d = 7 + -18d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18d' to each side of the equation. 19 + -17d + 18d = 7 + -18d + 18d Combine like terms: -17d + 18d = 1d 19 + 1d = 7 + -18d + 18d Combine like terms: -18d + 18d = 0 19 + 1d = 7 + 0 19 + 1d = 7 Add '-19' to each side of the equation. 19 + -19 + 1d = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 1d = 7 + -19 1d = 7 + -19 Combine like terms: 7 + -19 = -12 1d = -12 Divide each side by '1'. d = -12 Simplifying d = -12
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