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Simplifying 2d + 120 = 12d + 5d + 5d Reorder the terms: 120 + 2d = 12d + 5d + 5d Combine like terms: 12d + 5d = 17d 120 + 2d = 17d + 5d Combine like terms: 17d + 5d = 22d 120 + 2d = 22d Solving 120 + 2d = 22d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-22d' to each side of the equation. 120 + 2d + -22d = 22d + -22d Combine like terms: 2d + -22d = -20d 120 + -20d = 22d + -22d Combine like terms: 22d + -22d = 0 120 + -20d = 0 Add '-120' to each side of the equation. 120 + -120 + -20d = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -20d = 0 + -120 -20d = 0 + -120 Combine like terms: 0 + -120 = -120 -20d = -120 Divide each side by '-20'. d = 6 Simplifying d = 6
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