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Simplifying 2k + -2k + 4k + k + -1 = 9 Reorder the terms: -1 + 2k + -2k + 4k + k = 9 Combine like terms: 2k + -2k = 0 -1 + 0 + 4k + k = 9 -1 + 4k + k = 9 Combine like terms: 4k + k = 5k -1 + 5k = 9 Solving -1 + 5k = 9 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 = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 5k = 9 + 1 5k = 9 + 1 Combine like terms: 9 + 1 = 10 5k = 10 Divide each side by '5'. k = 2 Simplifying k = 2
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