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Simplifying 11d + 7 = 9d + 21 Reorder the terms: 7 + 11d = 9d + 21 Reorder the terms: 7 + 11d = 21 + 9d Solving 7 + 11d = 21 + 9d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9d' to each side of the equation. 7 + 11d + -9d = 21 + 9d + -9d Combine like terms: 11d + -9d = 2d 7 + 2d = 21 + 9d + -9d Combine like terms: 9d + -9d = 0 7 + 2d = 21 + 0 7 + 2d = 21 Add '-7' to each side of the equation. 7 + -7 + 2d = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 2d = 21 + -7 2d = 21 + -7 Combine like terms: 21 + -7 = 14 2d = 14 Divide each side by '2'. d = 7 Simplifying d = 7
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