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Simplifying 6k + -5k + -1k + 4k + k + -1 = 14 Reorder the terms: -1 + 6k + -5k + -1k + 4k + k = 14 Combine like terms: 6k + -5k = 1k -1 + 1k + -1k + 4k + k = 14 Combine like terms: 1k + -1k = 0 -1 + 0 + 4k + k = 14 -1 + 4k + k = 14 Combine like terms: 4k + k = 5k -1 + 5k = 14 Solving -1 + 5k = 14 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5k = 14 + 1 Combine like terms: -1 + 1 = 0 0 + 5k = 14 + 1 5k = 14 + 1 Combine like terms: 14 + 1 = 15 5k = 15 Divide each side by '5'. k = 3 Simplifying k = 3
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