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Simplifying 5d + 8 + -17d + 4 = 3d + 12 + -5d Reorder the terms: 8 + 4 + 5d + -17d = 3d + 12 + -5d Combine like terms: 8 + 4 = 12 12 + 5d + -17d = 3d + 12 + -5d Combine like terms: 5d + -17d = -12d 12 + -12d = 3d + 12 + -5d Reorder the terms: 12 + -12d = 12 + 3d + -5d Combine like terms: 3d + -5d = -2d 12 + -12d = 12 + -2d Add '-12' to each side of the equation. 12 + -12 + -12d = 12 + -12 + -2d Combine like terms: 12 + -12 = 0 0 + -12d = 12 + -12 + -2d -12d = 12 + -12 + -2d Combine like terms: 12 + -12 = 0 -12d = 0 + -2d -12d = -2d Solving -12d = -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -12d + 2d = -2d + 2d Combine like terms: -12d + 2d = -10d -10d = -2d + 2d Combine like terms: -2d + 2d = 0 -10d = 0 Divide each side by '-10'. d = 0.0 Simplifying d = 0.0
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