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Simplifying k + 6 = 9 + -1k Reorder the terms: 6 + k = 9 + -1k Solving 6 + k = 9 + -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. 6 + k + k = 9 + -1k + k Combine like terms: k + k = 2k 6 + 2k = 9 + -1k + k Combine like terms: -1k + k = 0 6 + 2k = 9 + 0 6 + 2k = 9 Add '-6' to each side of the equation. 6 + -6 + 2k = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 2k = 9 + -6 2k = 9 + -6 Combine like terms: 9 + -6 = 3 2k = 3 Divide each side by '2'. k = 1.5 Simplifying k = 1.5
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