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Simplifying 13d + 8 = 4d + 53 Reorder the terms: 8 + 13d = 4d + 53 Reorder the terms: 8 + 13d = 53 + 4d Solving 8 + 13d = 53 + 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. 8 + 13d + -4d = 53 + 4d + -4d Combine like terms: 13d + -4d = 9d 8 + 9d = 53 + 4d + -4d Combine like terms: 4d + -4d = 0 8 + 9d = 53 + 0 8 + 9d = 53 Add '-8' to each side of the equation. 8 + -8 + 9d = 53 + -8 Combine like terms: 8 + -8 = 0 0 + 9d = 53 + -8 9d = 53 + -8 Combine like terms: 53 + -8 = 45 9d = 45 Divide each side by '9'. d = 5 Simplifying d = 5
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