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Simplifying 2d + 120 = 12d + 5d + 5 Reorder the terms: 120 + 2d = 12d + 5d + 5 Reorder the terms: 120 + 2d = 5 + 12d + 5d Combine like terms: 12d + 5d = 17d 120 + 2d = 5 + 17d Solving 120 + 2d = 5 + 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. 120 + 2d + -17d = 5 + 17d + -17d Combine like terms: 2d + -17d = -15d 120 + -15d = 5 + 17d + -17d Combine like terms: 17d + -17d = 0 120 + -15d = 5 + 0 120 + -15d = 5 Add '-120' to each side of the equation. 120 + -120 + -15d = 5 + -120 Combine like terms: 120 + -120 = 0 0 + -15d = 5 + -120 -15d = 5 + -120 Combine like terms: 5 + -120 = -115 -15d = -115 Divide each side by '-15'. d = 7.666666667 Simplifying d = 7.666666667
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