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Simplifying 6k + -2k + 4 = 5 + -1k + -5k + -6 Reorder the terms: 4 + 6k + -2k = 5 + -1k + -5k + -6 Combine like terms: 6k + -2k = 4k 4 + 4k = 5 + -1k + -5k + -6 Reorder the terms: 4 + 4k = 5 + -6 + -1k + -5k Combine like terms: 5 + -6 = -1 4 + 4k = -1 + -1k + -5k Combine like terms: -1k + -5k = -6k 4 + 4k = -1 + -6k Solving 4 + 4k = -1 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 4 + 4k + 6k = -1 + -6k + 6k Combine like terms: 4k + 6k = 10k 4 + 10k = -1 + -6k + 6k Combine like terms: -6k + 6k = 0 4 + 10k = -1 + 0 4 + 10k = -1 Add '-4' to each side of the equation. 4 + -4 + 10k = -1 + -4 Combine like terms: 4 + -4 = 0 0 + 10k = -1 + -4 10k = -1 + -4 Combine like terms: -1 + -4 = -5 10k = -5 Divide each side by '10'. k = -0.5 Simplifying k = -0.5
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