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Simplifying -4 + -5k + -1k = 3k + -6 + 2k Combine like terms: -5k + -1k = -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 = -11k -4 + -11k = -6 + 5k + -5k Combine like terms: 5k + -5k = 0 -4 + -11k = -6 + 0 -4 + -11k = -6 Add '4' to each side of the equation. -4 + 4 + -11k = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -11k = -6 + 4 -11k = -6 + 4 Combine like terms: -6 + 4 = -2 -11k = -2 Divide each side by '-11'. k = 0.1818181818 Simplifying k = 0.1818181818
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