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Simplifying 3d + 8 = 8 + 2 + d Reorder the terms: 8 + 3d = 8 + 2 + d Combine like terms: 8 + 2 = 10 8 + 3d = 10 + d Solving 8 + 3d = 10 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 8 + 3d + -1d = 10 + d + -1d Combine like terms: 3d + -1d = 2d 8 + 2d = 10 + d + -1d Combine like terms: d + -1d = 0 8 + 2d = 10 + 0 8 + 2d = 10 Add '-8' to each side of the equation. 8 + -8 + 2d = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 2d = 10 + -8 2d = 10 + -8 Combine like terms: 10 + -8 = 2 2d = 2 Divide each side by '2'. d = 1 Simplifying d = 1
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