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Simplifying -1(k + 1) = 2k Reorder the terms: -1(1 + k) = 2k (1 * -1 + k * -1) = 2k (-1 + -1k) = 2k Solving -1 + -1k = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -1 + -1k + -2k = 2k + -2k Combine like terms: -1k + -2k = -3k -1 + -3k = 2k + -2k Combine like terms: 2k + -2k = 0 -1 + -3k = 0 Add '1' to each side of the equation. -1 + 1 + -3k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3k = 0 + 1 -3k = 0 + 1 Combine like terms: 0 + 1 = 1 -3k = 1 Divide each side by '-3'. k = -0.3333333333 Simplifying k = -0.3333333333
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