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Simplifying 3(2k + -1(2 + k)) = 0 3(2k + (2 * -1 + k * -1)) = 0 3(2k + (-2 + -1k)) = 0 Reorder the terms: 3(-2 + 2k + -1k) = 0 Combine like terms: 2k + -1k = 1k 3(-2 + 1k) = 0 (-2 * 3 + 1k * 3) = 0 (-6 + 3k) = 0 Solving -6 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3k = 0 + 6 3k = 0 + 6 Combine like terms: 0 + 6 = 6 3k = 6 Divide each side by '3'. k = 2 Simplifying k = 2
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