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