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