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Simplifying 22 + 2k = 37 + 6 + -1k Combine like terms: 37 + 6 = 43 22 + 2k = 43 + -1k Solving 22 + 2k = 43 + -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. 22 + 2k + k = 43 + -1k + k Combine like terms: 2k + k = 3k 22 + 3k = 43 + -1k + k Combine like terms: -1k + k = 0 22 + 3k = 43 + 0 22 + 3k = 43 Add '-22' to each side of the equation. 22 + -22 + 3k = 43 + -22 Combine like terms: 22 + -22 = 0 0 + 3k = 43 + -22 3k = 43 + -22 Combine like terms: 43 + -22 = 21 3k = 21 Divide each side by '3'. k = 7 Simplifying k = 7
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