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Simplifying 3k + 2 + -6k = 4K + 8 + -9k Reorder the terms: 2 + 3k + -6k = 4K + 8 + -9k Combine like terms: 3k + -6k = -3k 2 + -3k = 4K + 8 + -9k Reorder the terms: 2 + -3k = 8 + 4K + -9k Solving 2 + -3k = 8 + 4K + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 2 + -3k + 9k = 8 + 4K + -9k + 9k Combine like terms: -3k + 9k = 6k 2 + 6k = 8 + 4K + -9k + 9k Combine like terms: -9k + 9k = 0 2 + 6k = 8 + 4K + 0 2 + 6k = 8 + 4K Add '-2' to each side of the equation. 2 + -2 + 6k = 8 + -2 + 4K Combine like terms: 2 + -2 = 0 0 + 6k = 8 + -2 + 4K 6k = 8 + -2 + 4K Combine like terms: 8 + -2 = 6 6k = 6 + 4K Divide each side by '6'. k = 1 + 0.6666666667K Simplifying k = 1 + 0.6666666667K
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