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Simplifying 8d + 4d + -2d + -6 = 3d Reorder the terms: -6 + 8d + 4d + -2d = 3d Combine like terms: 8d + 4d = 12d -6 + 12d + -2d = 3d Combine like terms: 12d + -2d = 10d -6 + 10d = 3d Solving -6 + 10d = 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -6 + 10d + -3d = 3d + -3d Combine like terms: 10d + -3d = 7d -6 + 7d = 3d + -3d Combine like terms: 3d + -3d = 0 -6 + 7d = 0 Add '6' to each side of the equation. -6 + 6 + 7d = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7d = 0 + 6 7d = 0 + 6 Combine like terms: 0 + 6 = 6 7d = 6 Divide each side by '7'. d = 0.8571428571 Simplifying d = 0.8571428571
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