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Simplifying 7d + 4 = 3d + 32 Reorder the terms: 4 + 7d = 3d + 32 Reorder the terms: 4 + 7d = 32 + 3d Solving 4 + 7d = 32 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 4 + 7d + -3d = 32 + 3d + -3d Combine like terms: 7d + -3d = 4d 4 + 4d = 32 + 3d + -3d Combine like terms: 3d + -3d = 0 4 + 4d = 32 + 0 4 + 4d = 32 Add '-4' to each side of the equation. 4 + -4 + 4d = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 4d = 32 + -4 4d = 32 + -4 Combine like terms: 32 + -4 = 28 4d = 28 Divide each side by '4'. d = 7 Simplifying d = 7
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