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Simplifying -5d + 18 + -12d = -16d + 2 Reorder the terms: 18 + -5d + -12d = -16d + 2 Combine like terms: -5d + -12d = -17d 18 + -17d = -16d + 2 Reorder the terms: 18 + -17d = 2 + -16d Solving 18 + -17d = 2 + -16d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '16d' to each side of the equation. 18 + -17d + 16d = 2 + -16d + 16d Combine like terms: -17d + 16d = -1d 18 + -1d = 2 + -16d + 16d Combine like terms: -16d + 16d = 0 18 + -1d = 2 + 0 18 + -1d = 2 Add '-18' to each side of the equation. 18 + -18 + -1d = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -1d = 2 + -18 -1d = 2 + -18 Combine like terms: 2 + -18 = -16 -1d = -16 Divide each side by '-1'. d = 16 Simplifying d = 16
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