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Simplifying 13d + 3 = 6d + 31 Reorder the terms: 3 + 13d = 6d + 31 Reorder the terms: 3 + 13d = 31 + 6d Solving 3 + 13d = 31 + 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. 3 + 13d + -6d = 31 + 6d + -6d Combine like terms: 13d + -6d = 7d 3 + 7d = 31 + 6d + -6d Combine like terms: 6d + -6d = 0 3 + 7d = 31 + 0 3 + 7d = 31 Add '-3' to each side of the equation. 3 + -3 + 7d = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 7d = 31 + -3 7d = 31 + -3 Combine like terms: 31 + -3 = 28 7d = 28 Divide each side by '7'. d = 4 Simplifying d = 4
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