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Simplifying 12d + 1 = 4d + 41 Reorder the terms: 1 + 12d = 4d + 41 Reorder the terms: 1 + 12d = 41 + 4d Solving 1 + 12d = 41 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 1 + 12d + -4d = 41 + 4d + -4d Combine like terms: 12d + -4d = 8d 1 + 8d = 41 + 4d + -4d Combine like terms: 4d + -4d = 0 1 + 8d = 41 + 0 1 + 8d = 41 Add '-1' to each side of the equation. 1 + -1 + 8d = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 8d = 41 + -1 8d = 41 + -1 Combine like terms: 41 + -1 = 40 8d = 40 Divide each side by '8'. d = 5 Simplifying d = 5
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