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