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Simplifying 47d + 4d + -49d + 8 = 30 Reorder the terms: 8 + 47d + 4d + -49d = 30 Combine like terms: 47d + 4d = 51d 8 + 51d + -49d = 30 Combine like terms: 51d + -49d = 2d 8 + 2d = 30 Solving 8 + 2d = 30 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2d = 30 + -8 Combine like terms: 8 + -8 = 0 0 + 2d = 30 + -8 2d = 30 + -8 Combine like terms: 30 + -8 = 22 2d = 22 Divide each side by '2'. d = 11 Simplifying d = 11
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