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Simplifying 8d + 7 = 4d + 35 Reorder the terms: 7 + 8d = 4d + 35 Reorder the terms: 7 + 8d = 35 + 4d Solving 7 + 8d = 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. 7 + 8d + -4d = 35 + 4d + -4d Combine like terms: 8d + -4d = 4d 7 + 4d = 35 + 4d + -4d Combine like terms: 4d + -4d = 0 7 + 4d = 35 + 0 7 + 4d = 35 Add '-7' to each side of the equation. 7 + -7 + 4d = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 4d = 35 + -7 4d = 35 + -7 Combine like terms: 35 + -7 = 28 4d = 28 Divide each side by '4'. d = 7 Simplifying d = 7
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