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Simplifying k + 4 + 5k + -2k + -6 = 22 Reorder the terms: 4 + -6 + k + 5k + -2k = 22 Combine like terms: 4 + -6 = -2 -2 + k + 5k + -2k = 22 Combine like terms: k + 5k = 6k -2 + 6k + -2k = 22 Combine like terms: 6k + -2k = 4k -2 + 4k = 22 Solving -2 + 4k = 22 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4k = 22 + 2 Combine like terms: -2 + 2 = 0 0 + 4k = 22 + 2 4k = 22 + 2 Combine like terms: 22 + 2 = 24 4k = 24 Divide each side by '4'. k = 6 Simplifying k = 6
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