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Simplifying 6 + 3k + -1k = k + 7 Combine like terms: 3k + -1k = 2k 6 + 2k = k + 7 Reorder the terms: 6 + 2k = 7 + k Solving 6 + 2k = 7 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 6 + 2k + -1k = 7 + k + -1k Combine like terms: 2k + -1k = 1k 6 + 1k = 7 + k + -1k Combine like terms: k + -1k = 0 6 + 1k = 7 + 0 6 + 1k = 7 Add '-6' to each side of the equation. 6 + -6 + 1k = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 1k = 7 + -6 1k = 7 + -6 Combine like terms: 7 + -6 = 1 1k = 1 Divide each side by '1'. k = 1 Simplifying k = 1
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