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Simplifying 8d + 2 = -32 + -9d Reorder the terms: 2 + 8d = -32 + -9d Solving 2 + 8d = -32 + -9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '9d' to each side of the equation. 2 + 8d + 9d = -32 + -9d + 9d Combine like terms: 8d + 9d = 17d 2 + 17d = -32 + -9d + 9d Combine like terms: -9d + 9d = 0 2 + 17d = -32 + 0 2 + 17d = -32 Add '-2' to each side of the equation. 2 + -2 + 17d = -32 + -2 Combine like terms: 2 + -2 = 0 0 + 17d = -32 + -2 17d = -32 + -2 Combine like terms: -32 + -2 = -34 17d = -34 Divide each side by '17'. d = -2 Simplifying d = -2
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