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Simplifying 13d + 4 = 6d + 53 Reorder the terms: 4 + 13d = 6d + 53 Reorder the terms: 4 + 13d = 53 + 6d Solving 4 + 13d = 53 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 4 + 13d + -6d = 53 + 6d + -6d Combine like terms: 13d + -6d = 7d 4 + 7d = 53 + 6d + -6d Combine like terms: 6d + -6d = 0 4 + 7d = 53 + 0 4 + 7d = 53 Add '-4' to each side of the equation. 4 + -4 + 7d = 53 + -4 Combine like terms: 4 + -4 = 0 0 + 7d = 53 + -4 7d = 53 + -4 Combine like terms: 53 + -4 = 49 7d = 49 Divide each side by '7'. d = 7 Simplifying d = 7
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