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Simplifying 9d + 3 = 4d + 38 Reorder the terms: 3 + 9d = 4d + 38 Reorder the terms: 3 + 9d = 38 + 4d Solving 3 + 9d = 38 + 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. 3 + 9d + -4d = 38 + 4d + -4d Combine like terms: 9d + -4d = 5d 3 + 5d = 38 + 4d + -4d Combine like terms: 4d + -4d = 0 3 + 5d = 38 + 0 3 + 5d = 38 Add '-3' to each side of the equation. 3 + -3 + 5d = 38 + -3 Combine like terms: 3 + -3 = 0 0 + 5d = 38 + -3 5d = 38 + -3 Combine like terms: 38 + -3 = 35 5d = 35 Divide each side by '5'. d = 7 Simplifying d = 7
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