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Simplifying 10 + 11d = 6d + 55 Reorder the terms: 10 + 11d = 55 + 6d Solving 10 + 11d = 55 + 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. 10 + 11d + -6d = 55 + 6d + -6d Combine like terms: 11d + -6d = 5d 10 + 5d = 55 + 6d + -6d Combine like terms: 6d + -6d = 0 10 + 5d = 55 + 0 10 + 5d = 55 Add '-10' to each side of the equation. 10 + -10 + 5d = 55 + -10 Combine like terms: 10 + -10 = 0 0 + 5d = 55 + -10 5d = 55 + -10 Combine like terms: 55 + -10 = 45 5d = 45 Divide each side by '5'. d = 9 Simplifying d = 9
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