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Simplifying 12d + 4 = 9d + 7 Reorder the terms: 4 + 12d = 9d + 7 Reorder the terms: 4 + 12d = 7 + 9d Solving 4 + 12d = 7 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 4 + 12d + -9d = 7 + 9d + -9d Combine like terms: 12d + -9d = 3d 4 + 3d = 7 + 9d + -9d Combine like terms: 9d + -9d = 0 4 + 3d = 7 + 0 4 + 3d = 7 Add '-4' to each side of the equation. 4 + -4 + 3d = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 3d = 7 + -4 3d = 7 + -4 Combine like terms: 7 + -4 = 3 3d = 3 Divide each side by '3'. d = 1 Simplifying d = 1
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