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Simplifying 2k + 10 = 31 + -1k Reorder the terms: 10 + 2k = 31 + -1k Solving 10 + 2k = 31 + -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. 10 + 2k + k = 31 + -1k + k Combine like terms: 2k + k = 3k 10 + 3k = 31 + -1k + k Combine like terms: -1k + k = 0 10 + 3k = 31 + 0 10 + 3k = 31 Add '-10' to each side of the equation. 10 + -10 + 3k = 31 + -10 Combine like terms: 10 + -10 = 0 0 + 3k = 31 + -10 3k = 31 + -10 Combine like terms: 31 + -10 = 21 3k = 21 Divide each side by '3'. k = 7 Simplifying k = 7
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