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Simplifying 10d + 3 = 7d + 12 Reorder the terms: 3 + 10d = 7d + 12 Reorder the terms: 3 + 10d = 12 + 7d Solving 3 + 10d = 12 + 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. 3 + 10d + -7d = 12 + 7d + -7d Combine like terms: 10d + -7d = 3d 3 + 3d = 12 + 7d + -7d Combine like terms: 7d + -7d = 0 3 + 3d = 12 + 0 3 + 3d = 12 Add '-3' to each side of the equation. 3 + -3 + 3d = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3d = 12 + -3 3d = 12 + -3 Combine like terms: 12 + -3 = 9 3d = 9 Divide each side by '3'. d = 3 Simplifying d = 3
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