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