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Simplifying 31 + 3k = 19 + -3k Solving 31 + 3k = 19 + -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 + 3k = 19 + -3k + 3k Combine like terms: 3k + 3k = 6k 31 + 6k = 19 + -3k + 3k Combine like terms: -3k + 3k = 0 31 + 6k = 19 + 0 31 + 6k = 19 Add '-31' to each side of the equation. 31 + -31 + 6k = 19 + -31 Combine like terms: 31 + -31 = 0 0 + 6k = 19 + -31 6k = 19 + -31 Combine like terms: 19 + -31 = -12 6k = -12 Divide each side by '6'. k = -2 Simplifying k = -2
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