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Simplifying 2(3 + -6d) = (5d + 1) (3 * 2 + -6d * 2) = (5d + 1) (6 + -12d) = (5d + 1) Reorder the terms: 6 + -12d = (1 + 5d) Remove parenthesis around (1 + 5d) 6 + -12d = 1 + 5d Solving 6 + -12d = 1 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 6 + -12d + -5d = 1 + 5d + -5d Combine like terms: -12d + -5d = -17d 6 + -17d = 1 + 5d + -5d Combine like terms: 5d + -5d = 0 6 + -17d = 1 + 0 6 + -17d = 1 Add '-6' to each side of the equation. 6 + -6 + -17d = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -17d = 1 + -6 -17d = 1 + -6 Combine like terms: 1 + -6 = -5 -17d = -5 Divide each side by '-17'. d = 0.2941176471 Simplifying d = 0.2941176471
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