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Simplifying 13d + 5 = 8d + 30 Reorder the terms: 5 + 13d = 8d + 30 Reorder the terms: 5 + 13d = 30 + 8d Solving 5 + 13d = 30 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 5 + 13d + -8d = 30 + 8d + -8d Combine like terms: 13d + -8d = 5d 5 + 5d = 30 + 8d + -8d Combine like terms: 8d + -8d = 0 5 + 5d = 30 + 0 5 + 5d = 30 Add '-5' to each side of the equation. 5 + -5 + 5d = 30 + -5 Combine like terms: 5 + -5 = 0 0 + 5d = 30 + -5 5d = 30 + -5 Combine like terms: 30 + -5 = 25 5d = 25 Divide each side by '5'. d = 5 Simplifying d = 5
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