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Simplifying 5d + 6 = 8d + 2 Reorder the terms: 6 + 5d = 8d + 2 Reorder the terms: 6 + 5d = 2 + 8d Solving 6 + 5d = 2 + 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. 6 + 5d + -8d = 2 + 8d + -8d Combine like terms: 5d + -8d = -3d 6 + -3d = 2 + 8d + -8d Combine like terms: 8d + -8d = 0 6 + -3d = 2 + 0 6 + -3d = 2 Add '-6' to each side of the equation. 6 + -6 + -3d = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -3d = 2 + -6 -3d = 2 + -6 Combine like terms: 2 + -6 = -4 -3d = -4 Divide each side by '-3'. d = 1.333333333 Simplifying d = 1.333333333
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