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Simplifying 47 + 2k = 31 + -1k Solving 47 + 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. 47 + 2k + k = 31 + -1k + k Combine like terms: 2k + k = 3k 47 + 3k = 31 + -1k + k Combine like terms: -1k + k = 0 47 + 3k = 31 + 0 47 + 3k = 31 Add '-47' to each side of the equation. 47 + -47 + 3k = 31 + -47 Combine like terms: 47 + -47 = 0 0 + 3k = 31 + -47 3k = 31 + -47 Combine like terms: 31 + -47 = -16 3k = -16 Divide each side by '3'. k = -5.333333333 Simplifying k = -5.333333333
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