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Simplifying 4k + -1k + 3 = k + 6 + -9 Reorder the terms: 3 + 4k + -1k = k + 6 + -9 Combine like terms: 4k + -1k = 3k 3 + 3k = k + 6 + -9 Reorder the terms: 3 + 3k = 6 + -9 + k Combine like terms: 6 + -9 = -3 3 + 3k = -3 + k Solving 3 + 3k = -3 + 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. 3 + 3k + -1k = -3 + k + -1k Combine like terms: 3k + -1k = 2k 3 + 2k = -3 + k + -1k Combine like terms: k + -1k = 0 3 + 2k = -3 + 0 3 + 2k = -3 Add '-3' to each side of the equation. 3 + -3 + 2k = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 2k = -3 + -3 2k = -3 + -3 Combine like terms: -3 + -3 = -6 2k = -6 Divide each side by '2'. k = -3 Simplifying k = -3
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