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Simplifying 3k + -9 = 7 + 2k + -1k Reorder the terms: -9 + 3k = 7 + 2k + -1k Combine like terms: 2k + -1k = 1k -9 + 3k = 7 + 1k Solving -9 + 3k = 7 + 1k 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. -9 + 3k + -1k = 7 + 1k + -1k Combine like terms: 3k + -1k = 2k -9 + 2k = 7 + 1k + -1k Combine like terms: 1k + -1k = 0 -9 + 2k = 7 + 0 -9 + 2k = 7 Add '9' to each side of the equation. -9 + 9 + 2k = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2k = 7 + 9 2k = 7 + 9 Combine like terms: 7 + 9 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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