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Simplifying 12d + 7 = 6d + 31 Reorder the terms: 7 + 12d = 6d + 31 Reorder the terms: 7 + 12d = 31 + 6d Solving 7 + 12d = 31 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 7 + 12d + -6d = 31 + 6d + -6d Combine like terms: 12d + -6d = 6d 7 + 6d = 31 + 6d + -6d Combine like terms: 6d + -6d = 0 7 + 6d = 31 + 0 7 + 6d = 31 Add '-7' to each side of the equation. 7 + -7 + 6d = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 6d = 31 + -7 6d = 31 + -7 Combine like terms: 31 + -7 = 24 6d = 24 Divide each side by '6'. d = 4 Simplifying d = 4
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