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Simplifying 2k + -1k + -1(2 + -2k) = 0 2k + -1k + (2 * -1 + -2k * -1) = 0 2k + -1k + (-2 + 2k) = 0 Reorder the terms: -2 + 2k + -1k + 2k = 0 Combine like terms: 2k + -1k = 1k -2 + 1k + 2k = 0 Combine like terms: 1k + 2k = 3k -2 + 3k = 0 Solving -2 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3k = 0 + 2 3k = 0 + 2 Combine like terms: 0 + 2 = 2 3k = 2 Divide each side by '3'. k = 0.6666666667 Simplifying k = 0.6666666667
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