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Simplifying 31 = 7d + -13 + d Reorder the terms: 31 = -13 + 7d + d Combine like terms: 7d + d = 8d 31 = -13 + 8d Solving 31 = -13 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 31 + -8d = -13 + 8d + -8d Combine like terms: 8d + -8d = 0 31 + -8d = -13 + 0 31 + -8d = -13 Add '-31' to each side of the equation. 31 + -31 + -8d = -13 + -31 Combine like terms: 31 + -31 = 0 0 + -8d = -13 + -31 -8d = -13 + -31 Combine like terms: -13 + -31 = -44 -8d = -44 Divide each side by '-8'. d = 5.5 Simplifying d = 5.5
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