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Simplifying 11d + 9 = 7d + 21 Reorder the terms: 9 + 11d = 7d + 21 Reorder the terms: 9 + 11d = 21 + 7d Solving 9 + 11d = 21 + 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. 9 + 11d + -7d = 21 + 7d + -7d Combine like terms: 11d + -7d = 4d 9 + 4d = 21 + 7d + -7d Combine like terms: 7d + -7d = 0 9 + 4d = 21 + 0 9 + 4d = 21 Add '-9' to each side of the equation. 9 + -9 + 4d = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 4d = 21 + -9 4d = 21 + -9 Combine like terms: 21 + -9 = 12 4d = 12 Divide each side by '4'. d = 3 Simplifying d = 3
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