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Simplifying k + -1 + -2 = 6k + -4k + -4 Reorder the terms: -1 + -2 + k = 6k + -4k + -4 Combine like terms: -1 + -2 = -3 -3 + k = 6k + -4k + -4 Reorder the terms: -3 + k = -4 + 6k + -4k Combine like terms: 6k + -4k = 2k -3 + k = -4 + 2k Solving -3 + k = -4 + 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. -3 + k + -2k = -4 + 2k + -2k Combine like terms: k + -2k = -1k -3 + -1k = -4 + 2k + -2k Combine like terms: 2k + -2k = 0 -3 + -1k = -4 + 0 -3 + -1k = -4 Add '3' to each side of the equation. -3 + 3 + -1k = -4 + 3 Combine like terms: -3 + 3 = 0 0 + -1k = -4 + 3 -1k = -4 + 3 Combine like terms: -4 + 3 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1
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