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Simplifying 12d + 1 = 7d + 31 Reorder the terms: 1 + 12d = 7d + 31 Reorder the terms: 1 + 12d = 31 + 7d Solving 1 + 12d = 31 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 1 + 12d + -7d = 31 + 7d + -7d Combine like terms: 12d + -7d = 5d 1 + 5d = 31 + 7d + -7d Combine like terms: 7d + -7d = 0 1 + 5d = 31 + 0 1 + 5d = 31 Add '-1' to each side of the equation. 1 + -1 + 5d = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 5d = 31 + -1 5d = 31 + -1 Combine like terms: 31 + -1 = 30 5d = 30 Divide each side by '5'. d = 6 Simplifying d = 6
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