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Simplifying 2d + -8 + -5d = 3d + -2d + 6 Reorder the terms: -8 + 2d + -5d = 3d + -2d + 6 Combine like terms: 2d + -5d = -3d -8 + -3d = 3d + -2d + 6 Reorder the terms: -8 + -3d = 6 + 3d + -2d Combine like terms: 3d + -2d = 1d -8 + -3d = 6 + 1d Solving -8 + -3d = 6 + 1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. -8 + -3d + -1d = 6 + 1d + -1d Combine like terms: -3d + -1d = -4d -8 + -4d = 6 + 1d + -1d Combine like terms: 1d + -1d = 0 -8 + -4d = 6 + 0 -8 + -4d = 6 Add '8' to each side of the equation. -8 + 8 + -4d = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -4d = 6 + 8 -4d = 6 + 8 Combine like terms: 6 + 8 = 14 -4d = 14 Divide each side by '-4'. d = -3.5 Simplifying d = -3.5
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