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Simplifying 11d + 7 = 4d + 14 Reorder the terms: 7 + 11d = 4d + 14 Reorder the terms: 7 + 11d = 14 + 4d Solving 7 + 11d = 14 + 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. 7 + 11d + -4d = 14 + 4d + -4d Combine like terms: 11d + -4d = 7d 7 + 7d = 14 + 4d + -4d Combine like terms: 4d + -4d = 0 7 + 7d = 14 + 0 7 + 7d = 14 Add '-7' to each side of the equation. 7 + -7 + 7d = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 7d = 14 + -7 7d = 14 + -7 Combine like terms: 14 + -7 = 7 7d = 7 Divide each side by '7'. d = 1 Simplifying d = 1
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