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Simplifying -1(k + -2) = -3k + -8 Reorder the terms: -1(-2 + k) = -3k + -8 (-2 * -1 + k * -1) = -3k + -8 (2 + -1k) = -3k + -8 Reorder the terms: 2 + -1k = -8 + -3k Solving 2 + -1k = -8 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 2 + -1k + 3k = -8 + -3k + 3k Combine like terms: -1k + 3k = 2k 2 + 2k = -8 + -3k + 3k Combine like terms: -3k + 3k = 0 2 + 2k = -8 + 0 2 + 2k = -8 Add '-2' to each side of the equation. 2 + -2 + 2k = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 2k = -8 + -2 2k = -8 + -2 Combine like terms: -8 + -2 = -10 2k = -10 Divide each side by '2'. k = -5 Simplifying k = -5
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