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Simplifying 31 = 3k + 7 Reorder the terms: 31 = 7 + 3k Solving 31 = 7 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 31 + -3k = 7 + 3k + -3k Combine like terms: 3k + -3k = 0 31 + -3k = 7 + 0 31 + -3k = 7 Add '-31' to each side of the equation. 31 + -31 + -3k = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -3k = 7 + -31 -3k = 7 + -31 Combine like terms: 7 + -31 = -24 -3k = -24 Divide each side by '-3'. k = 8 Simplifying k = 8
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