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Simplifying 17d + 19 = 14d + 16d + -20 Reorder the terms: 19 + 17d = 14d + 16d + -20 Reorder the terms: 19 + 17d = -20 + 14d + 16d Combine like terms: 14d + 16d = 30d 19 + 17d = -20 + 30d Solving 19 + 17d = -20 + 30d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-30d' to each side of the equation. 19 + 17d + -30d = -20 + 30d + -30d Combine like terms: 17d + -30d = -13d 19 + -13d = -20 + 30d + -30d Combine like terms: 30d + -30d = 0 19 + -13d = -20 + 0 19 + -13d = -20 Add '-19' to each side of the equation. 19 + -19 + -13d = -20 + -19 Combine like terms: 19 + -19 = 0 0 + -13d = -20 + -19 -13d = -20 + -19 Combine like terms: -20 + -19 = -39 -13d = -39 Divide each side by '-13'. d = 3 Simplifying d = 3
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