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Simplifying -11 + 19d = 12d + 5d + 17 Reorder the terms: -11 + 19d = 17 + 12d + 5d Combine like terms: 12d + 5d = 17d -11 + 19d = 17 + 17d Solving -11 + 19d = 17 + 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. -11 + 19d + -17d = 17 + 17d + -17d Combine like terms: 19d + -17d = 2d -11 + 2d = 17 + 17d + -17d Combine like terms: 17d + -17d = 0 -11 + 2d = 17 + 0 -11 + 2d = 17 Add '11' to each side of the equation. -11 + 11 + 2d = 17 + 11 Combine like terms: -11 + 11 = 0 0 + 2d = 17 + 11 2d = 17 + 11 Combine like terms: 17 + 11 = 28 2d = 28 Divide each side by '2'. d = 14 Simplifying d = 14
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