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Simplifying 8d + 1 = 3d + 41 Reorder the terms: 1 + 8d = 3d + 41 Reorder the terms: 1 + 8d = 41 + 3d Solving 1 + 8d = 41 + 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. 1 + 8d + -3d = 41 + 3d + -3d Combine like terms: 8d + -3d = 5d 1 + 5d = 41 + 3d + -3d Combine like terms: 3d + -3d = 0 1 + 5d = 41 + 0 1 + 5d = 41 Add '-1' to each side of the equation. 1 + -1 + 5d = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 5d = 41 + -1 5d = 41 + -1 Combine like terms: 41 + -1 = 40 5d = 40 Divide each side by '5'. d = 8 Simplifying d = 8
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