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Simplifying 11d + 1 = 7d + 37 Reorder the terms: 1 + 11d = 7d + 37 Reorder the terms: 1 + 11d = 37 + 7d Solving 1 + 11d = 37 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 1 + 11d + -7d = 37 + 7d + -7d Combine like terms: 11d + -7d = 4d 1 + 4d = 37 + 7d + -7d Combine like terms: 7d + -7d = 0 1 + 4d = 37 + 0 1 + 4d = 37 Add '-1' to each side of the equation. 1 + -1 + 4d = 37 + -1 Combine like terms: 1 + -1 = 0 0 + 4d = 37 + -1 4d = 37 + -1 Combine like terms: 37 + -1 = 36 4d = 36 Divide each side by '4'. d = 9 Simplifying d = 9
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