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Simplifying 2(2 + K) = 18 + -2(2K + -5) (2 * 2 + K * 2) = 18 + -2(2K + -5) (4 + 2K) = 18 + -2(2K + -5) Reorder the terms: 4 + 2K = 18 + -2(-5 + 2K) 4 + 2K = 18 + (-5 * -2 + 2K * -2) 4 + 2K = 18 + (10 + -4K) Combine like terms: 18 + 10 = 28 4 + 2K = 28 + -4K Solving 4 + 2K = 28 + -4K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '4K' to each side of the equation. 4 + 2K + 4K = 28 + -4K + 4K Combine like terms: 2K + 4K = 6K 4 + 6K = 28 + -4K + 4K Combine like terms: -4K + 4K = 0 4 + 6K = 28 + 0 4 + 6K = 28 Add '-4' to each side of the equation. 4 + -4 + 6K = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 6K = 28 + -4 6K = 28 + -4 Combine like terms: 28 + -4 = 24 6K = 24 Divide each side by '6'. K = 4 Simplifying K = 4
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