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Simplifying 5d + -2 = 2d + 6d Reorder the terms: -2 + 5d = 2d + 6d Combine like terms: 2d + 6d = 8d -2 + 5d = 8d Solving -2 + 5d = 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -2 + 5d + -8d = 8d + -8d Combine like terms: 5d + -8d = -3d -2 + -3d = 8d + -8d Combine like terms: 8d + -8d = 0 -2 + -3d = 0 Add '2' to each side of the equation. -2 + 2 + -3d = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3d = 0 + 2 -3d = 0 + 2 Combine like terms: 0 + 2 = 2 -3d = 2 Divide each side by '-3'. d = -0.6666666667 Simplifying d = -0.6666666667
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