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Simplifying 12d + 8 + 5d = 5(3d + -20) + 14d Reorder the terms: 8 + 12d + 5d = 5(3d + -20) + 14d Combine like terms: 12d + 5d = 17d 8 + 17d = 5(3d + -20) + 14d Reorder the terms: 8 + 17d = 5(-20 + 3d) + 14d 8 + 17d = (-20 * 5 + 3d * 5) + 14d 8 + 17d = (-100 + 15d) + 14d Combine like terms: 15d + 14d = 29d 8 + 17d = -100 + 29d Solving 8 + 17d = -100 + 29d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-29d' to each side of the equation. 8 + 17d + -29d = -100 + 29d + -29d Combine like terms: 17d + -29d = -12d 8 + -12d = -100 + 29d + -29d Combine like terms: 29d + -29d = 0 8 + -12d = -100 + 0 8 + -12d = -100 Add '-8' to each side of the equation. 8 + -8 + -12d = -100 + -8 Combine like terms: 8 + -8 = 0 0 + -12d = -100 + -8 -12d = -100 + -8 Combine like terms: -100 + -8 = -108 -12d = -108 Divide each side by '-12'. d = 9 Simplifying d = 9
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