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Simplifying -2(k + -6) + -1(2 + 3k) = -6k Reorder the terms: -2(-6 + k) + -1(2 + 3k) = -6k (-6 * -2 + k * -2) + -1(2 + 3k) = -6k (12 + -2k) + -1(2 + 3k) = -6k 12 + -2k + (2 * -1 + 3k * -1) = -6k 12 + -2k + (-2 + -3k) = -6k Reorder the terms: 12 + -2 + -2k + -3k = -6k Combine like terms: 12 + -2 = 10 10 + -2k + -3k = -6k Combine like terms: -2k + -3k = -5k 10 + -5k = -6k Solving 10 + -5k = -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. 10 + -5k + 6k = -6k + 6k Combine like terms: -5k + 6k = 1k 10 + 1k = -6k + 6k Combine like terms: -6k + 6k = 0 10 + 1k = 0 Add '-10' to each side of the equation. 10 + -10 + 1k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1k = 0 + -10 1k = 0 + -10 Combine like terms: 0 + -10 = -10 1k = -10 Divide each side by '1'. k = -10 Simplifying k = -10
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