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