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Simplifying 15 + 13d + 14 = 17d + -19 Reorder the terms: 15 + 14 + 13d = 17d + -19 Combine like terms: 15 + 14 = 29 29 + 13d = 17d + -19 Reorder the terms: 29 + 13d = -19 + 17d Solving 29 + 13d = -19 + 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. 29 + 13d + -17d = -19 + 17d + -17d Combine like terms: 13d + -17d = -4d 29 + -4d = -19 + 17d + -17d Combine like terms: 17d + -17d = 0 29 + -4d = -19 + 0 29 + -4d = -19 Add '-29' to each side of the equation. 29 + -29 + -4d = -19 + -29 Combine like terms: 29 + -29 = 0 0 + -4d = -19 + -29 -4d = -19 + -29 Combine like terms: -19 + -29 = -48 -4d = -48 Divide each side by '-4'. d = 12 Simplifying d = 12
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