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Simplifying 13d + 5 = 5d + 61 Reorder the terms: 5 + 13d = 5d + 61 Reorder the terms: 5 + 13d = 61 + 5d Solving 5 + 13d = 61 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 5 + 13d + -5d = 61 + 5d + -5d Combine like terms: 13d + -5d = 8d 5 + 8d = 61 + 5d + -5d Combine like terms: 5d + -5d = 0 5 + 8d = 61 + 0 5 + 8d = 61 Add '-5' to each side of the equation. 5 + -5 + 8d = 61 + -5 Combine like terms: 5 + -5 = 0 0 + 8d = 61 + -5 8d = 61 + -5 Combine like terms: 61 + -5 = 56 8d = 56 Divide each side by '8'. d = 7 Simplifying d = 7
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