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Simplifying 11d + 9 = 8d + 27 Reorder the terms: 9 + 11d = 8d + 27 Reorder the terms: 9 + 11d = 27 + 8d Solving 9 + 11d = 27 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 9 + 11d + -8d = 27 + 8d + -8d Combine like terms: 11d + -8d = 3d 9 + 3d = 27 + 8d + -8d Combine like terms: 8d + -8d = 0 9 + 3d = 27 + 0 9 + 3d = 27 Add '-9' to each side of the equation. 9 + -9 + 3d = 27 + -9 Combine like terms: 9 + -9 = 0 0 + 3d = 27 + -9 3d = 27 + -9 Combine like terms: 27 + -9 = 18 3d = 18 Divide each side by '3'. d = 6 Simplifying d = 6
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