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Simplifying 11d + 1 = 8d + 16 Reorder the terms: 1 + 11d = 8d + 16 Reorder the terms: 1 + 11d = 16 + 8d Solving 1 + 11d = 16 + 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. 1 + 11d + -8d = 16 + 8d + -8d Combine like terms: 11d + -8d = 3d 1 + 3d = 16 + 8d + -8d Combine like terms: 8d + -8d = 0 1 + 3d = 16 + 0 1 + 3d = 16 Add '-1' to each side of the equation. 1 + -1 + 3d = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 3d = 16 + -1 3d = 16 + -1 Combine like terms: 16 + -1 = 15 3d = 15 Divide each side by '3'. d = 5 Simplifying d = 5
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