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Simplifying 10d + 4 = 7d + 10 Reorder the terms: 4 + 10d = 7d + 10 Reorder the terms: 4 + 10d = 10 + 7d Solving 4 + 10d = 10 + 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. 4 + 10d + -7d = 10 + 7d + -7d Combine like terms: 10d + -7d = 3d 4 + 3d = 10 + 7d + -7d Combine like terms: 7d + -7d = 0 4 + 3d = 10 + 0 4 + 3d = 10 Add '-4' to each side of the equation. 4 + -4 + 3d = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 3d = 10 + -4 3d = 10 + -4 Combine like terms: 10 + -4 = 6 3d = 6 Divide each side by '3'. d = 2 Simplifying d = 2
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