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Simplifying 7d + 8 = 4d + 35 Reorder the terms: 8 + 7d = 4d + 35 Reorder the terms: 8 + 7d = 35 + 4d Solving 8 + 7d = 35 + 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. 8 + 7d + -4d = 35 + 4d + -4d Combine like terms: 7d + -4d = 3d 8 + 3d = 35 + 4d + -4d Combine like terms: 4d + -4d = 0 8 + 3d = 35 + 0 8 + 3d = 35 Add '-8' to each side of the equation. 8 + -8 + 3d = 35 + -8 Combine like terms: 8 + -8 = 0 0 + 3d = 35 + -8 3d = 35 + -8 Combine like terms: 35 + -8 = 27 3d = 27 Divide each side by '3'. d = 9 Simplifying d = 9
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