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Simplifying 4(K + 1) = 2(2 + -1K) Reorder the terms: 4(1 + K) = 2(2 + -1K) (1 * 4 + K * 4) = 2(2 + -1K) (4 + 4K) = 2(2 + -1K) 4 + 4K = (2 * 2 + -1K * 2) 4 + 4K = (4 + -2K) Add '-4' to each side of the equation. 4 + -4 + 4K = 4 + -4 + -2K Combine like terms: 4 + -4 = 0 0 + 4K = 4 + -4 + -2K 4K = 4 + -4 + -2K Combine like terms: 4 + -4 = 0 4K = 0 + -2K 4K = -2K Solving 4K = -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. 4K + 2K = -2K + 2K Combine like terms: 4K + 2K = 6K 6K = -2K + 2K Combine like terms: -2K + 2K = 0 6K = 0 Divide each side by '6'. K = 0 Simplifying K = 0
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