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Simplifying 17 + 7d = 17d + -14 + -19 Reorder the terms: 17 + 7d = -14 + -19 + 17d Combine like terms: -14 + -19 = -33 17 + 7d = -33 + 17d Solving 17 + 7d = -33 + 17d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-17d' to each side of the equation. 17 + 7d + -17d = -33 + 17d + -17d Combine like terms: 7d + -17d = -10d 17 + -10d = -33 + 17d + -17d Combine like terms: 17d + -17d = 0 17 + -10d = -33 + 0 17 + -10d = -33 Add '-17' to each side of the equation. 17 + -17 + -10d = -33 + -17 Combine like terms: 17 + -17 = 0 0 + -10d = -33 + -17 -10d = -33 + -17 Combine like terms: -33 + -17 = -50 -10d = -50 Divide each side by '-10'. d = 5 Simplifying d = 5
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