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Simplifying 8d + 4d + -6d + 8 = 2d Reorder the terms: 8 + 8d + 4d + -6d = 2d Combine like terms: 8d + 4d = 12d 8 + 12d + -6d = 2d Combine like terms: 12d + -6d = 6d 8 + 6d = 2d Solving 8 + 6d = 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. 8 + 6d + -2d = 2d + -2d Combine like terms: 6d + -2d = 4d 8 + 4d = 2d + -2d Combine like terms: 2d + -2d = 0 8 + 4d = 0 Add '-8' to each side of the equation. 8 + -8 + 4d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4d = 0 + -8 4d = 0 + -8 Combine like terms: 0 + -8 = -8 4d = -8 Divide each side by '4'. d = -2 Simplifying d = -2
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