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Simplifying 16k + 31 = 82 + -1k Reorder the terms: 31 + 16k = 82 + -1k Solving 31 + 16k = 82 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 31 + 16k + k = 82 + -1k + k Combine like terms: 16k + k = 17k 31 + 17k = 82 + -1k + k Combine like terms: -1k + k = 0 31 + 17k = 82 + 0 31 + 17k = 82 Add '-31' to each side of the equation. 31 + -31 + 17k = 82 + -31 Combine like terms: 31 + -31 = 0 0 + 17k = 82 + -31 17k = 82 + -31 Combine like terms: 82 + -31 = 51 17k = 51 Divide each side by '17'. k = 3 Simplifying k = 3
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