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Simplifying 4k + -1k = -6k + -2k + 7 Combine like terms: 4k + -1k = 3k 3k = -6k + -2k + 7 Reorder the terms: 3k = 7 + -6k + -2k Combine like terms: -6k + -2k = -8k 3k = 7 + -8k Solving 3k = 7 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 3k + 8k = 7 + -8k + 8k Combine like terms: 3k + 8k = 11k 11k = 7 + -8k + 8k Combine like terms: -8k + 8k = 0 11k = 7 + 0 11k = 7 Divide each side by '11'. k = 0.6363636364 Simplifying k = 0.6363636364
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