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Simplifying 12d + 1 = 4d + 57 Reorder the terms: 1 + 12d = 4d + 57 Reorder the terms: 1 + 12d = 57 + 4d Solving 1 + 12d = 57 + 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 = 57 + 4d + -4d Combine like terms: 12d + -4d = 8d 1 + 8d = 57 + 4d + -4d Combine like terms: 4d + -4d = 0 1 + 8d = 57 + 0 1 + 8d = 57 Add '-1' to each side of the equation. 1 + -1 + 8d = 57 + -1 Combine like terms: 1 + -1 = 0 0 + 8d = 57 + -1 8d = 57 + -1 Combine like terms: 57 + -1 = 56 8d = 56 Divide each side by '8'. d = 7 Simplifying d = 7
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