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Simplifying 11d + 5 = 4d + 47 Reorder the terms: 5 + 11d = 4d + 47 Reorder the terms: 5 + 11d = 47 + 4d Solving 5 + 11d = 47 + 4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4d' to each side of the equation. 5 + 11d + -4d = 47 + 4d + -4d Combine like terms: 11d + -4d = 7d 5 + 7d = 47 + 4d + -4d Combine like terms: 4d + -4d = 0 5 + 7d = 47 + 0 5 + 7d = 47 Add '-5' to each side of the equation. 5 + -5 + 7d = 47 + -5 Combine like terms: 5 + -5 = 0 0 + 7d = 47 + -5 7d = 47 + -5 Combine like terms: 47 + -5 = 42 7d = 42 Divide each side by '7'. d = 6 Simplifying d = 6
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