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Simplifying 6(d + 6) = 17d + -63 Reorder the terms: 6(6 + d) = 17d + -63 (6 * 6 + d * 6) = 17d + -63 (36 + 6d) = 17d + -63 Reorder the terms: 36 + 6d = -63 + 17d Solving 36 + 6d = -63 + 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. 36 + 6d + -17d = -63 + 17d + -17d Combine like terms: 6d + -17d = -11d 36 + -11d = -63 + 17d + -17d Combine like terms: 17d + -17d = 0 36 + -11d = -63 + 0 36 + -11d = -63 Add '-36' to each side of the equation. 36 + -36 + -11d = -63 + -36 Combine like terms: 36 + -36 = 0 0 + -11d = -63 + -36 -11d = -63 + -36 Combine like terms: -63 + -36 = -99 -11d = -99 Divide each side by '-11'. d = 9 Simplifying d = 9
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