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Simplifying 13d + 7 = 7d + 31 Reorder the terms: 7 + 13d = 7d + 31 Reorder the terms: 7 + 13d = 31 + 7d Solving 7 + 13d = 31 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 7 + 13d + -7d = 31 + 7d + -7d Combine like terms: 13d + -7d = 6d 7 + 6d = 31 + 7d + -7d Combine like terms: 7d + -7d = 0 7 + 6d = 31 + 0 7 + 6d = 31 Add '-7' to each side of the equation. 7 + -7 + 6d = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 6d = 31 + -7 6d = 31 + -7 Combine like terms: 31 + -7 = 24 6d = 24 Divide each side by '6'. d = 4 Simplifying d = 4
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