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Simplifying 8d + 2 = 3d + 32 Reorder the terms: 2 + 8d = 3d + 32 Reorder the terms: 2 + 8d = 32 + 3d Solving 2 + 8d = 32 + 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. 2 + 8d + -3d = 32 + 3d + -3d Combine like terms: 8d + -3d = 5d 2 + 5d = 32 + 3d + -3d Combine like terms: 3d + -3d = 0 2 + 5d = 32 + 0 2 + 5d = 32 Add '-2' to each side of the equation. 2 + -2 + 5d = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 5d = 32 + -2 5d = 32 + -2 Combine like terms: 32 + -2 = 30 5d = 30 Divide each side by '5'. d = 6 Simplifying d = 6
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