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Simplifying 6k + -5 + 4k + -1k + 2 = 12 Reorder the terms: -5 + 2 + 6k + 4k + -1k = 12 Combine like terms: -5 + 2 = -3 -3 + 6k + 4k + -1k = 12 Combine like terms: 6k + 4k = 10k -3 + 10k + -1k = 12 Combine like terms: 10k + -1k = 9k -3 + 9k = 12 Solving -3 + 9k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 9k = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 9k = 12 + 3 9k = 12 + 3 Combine like terms: 12 + 3 = 15 9k = 15 Divide each side by '9'. k = 1.666666667 Simplifying k = 1.666666667
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