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Simplifying 11d + 5 = 8d + 23 Reorder the terms: 5 + 11d = 8d + 23 Reorder the terms: 5 + 11d = 23 + 8d Solving 5 + 11d = 23 + 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. 5 + 11d + -8d = 23 + 8d + -8d Combine like terms: 11d + -8d = 3d 5 + 3d = 23 + 8d + -8d Combine like terms: 8d + -8d = 0 5 + 3d = 23 + 0 5 + 3d = 23 Add '-5' to each side of the equation. 5 + -5 + 3d = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 3d = 23 + -5 3d = 23 + -5 Combine like terms: 23 + -5 = 18 3d = 18 Divide each side by '3'. d = 6 Simplifying d = 6
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