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Simplifying 12d + 9 = 4d + 25 Reorder the terms: 9 + 12d = 4d + 25 Reorder the terms: 9 + 12d = 25 + 4d Solving 9 + 12d = 25 + 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. 9 + 12d + -4d = 25 + 4d + -4d Combine like terms: 12d + -4d = 8d 9 + 8d = 25 + 4d + -4d Combine like terms: 4d + -4d = 0 9 + 8d = 25 + 0 9 + 8d = 25 Add '-9' to each side of the equation. 9 + -9 + 8d = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 8d = 25 + -9 8d = 25 + -9 Combine like terms: 25 + -9 = 16 8d = 16 Divide each side by '8'. d = 2 Simplifying d = 2
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