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Simplifying 8d + 6 = 5d + 12 Reorder the terms: 6 + 8d = 5d + 12 Reorder the terms: 6 + 8d = 12 + 5d Solving 6 + 8d = 12 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 6 + 8d + -5d = 12 + 5d + -5d Combine like terms: 8d + -5d = 3d 6 + 3d = 12 + 5d + -5d Combine like terms: 5d + -5d = 0 6 + 3d = 12 + 0 6 + 3d = 12 Add '-6' to each side of the equation. 6 + -6 + 3d = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3d = 12 + -6 3d = 12 + -6 Combine like terms: 12 + -6 = 6 3d = 6 Divide each side by '3'. d = 2 Simplifying d = 2
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