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Simplifying -2d + 3d + 10 = -1d + 11 + -15d Reorder the terms: 10 + -2d + 3d = -1d + 11 + -15d Combine like terms: -2d + 3d = 1d 10 + 1d = -1d + 11 + -15d Reorder the terms: 10 + 1d = 11 + -1d + -15d Combine like terms: -1d + -15d = -16d 10 + 1d = 11 + -16d Solving 10 + 1d = 11 + -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. 10 + 1d + 16d = 11 + -16d + 16d Combine like terms: 1d + 16d = 17d 10 + 17d = 11 + -16d + 16d Combine like terms: -16d + 16d = 0 10 + 17d = 11 + 0 10 + 17d = 11 Add '-10' to each side of the equation. 10 + -10 + 17d = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 17d = 11 + -10 17d = 11 + -10 Combine like terms: 11 + -10 = 1 17d = 1 Divide each side by '17'. d = 0.05882352941 Simplifying d = 0.05882352941
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