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Simplifying 11d + 9 = 6d + 54 Reorder the terms: 9 + 11d = 6d + 54 Reorder the terms: 9 + 11d = 54 + 6d Solving 9 + 11d = 54 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 9 + 11d + -6d = 54 + 6d + -6d Combine like terms: 11d + -6d = 5d 9 + 5d = 54 + 6d + -6d Combine like terms: 6d + -6d = 0 9 + 5d = 54 + 0 9 + 5d = 54 Add '-9' to each side of the equation. 9 + -9 + 5d = 54 + -9 Combine like terms: 9 + -9 = 0 0 + 5d = 54 + -9 5d = 54 + -9 Combine like terms: 54 + -9 = 45 5d = 45 Divide each side by '5'. d = 9 Simplifying d = 9
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