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Simplifying 2(K + 1) + -1(5 + -7K) = 8K Reorder the terms: 2(1 + K) + -1(5 + -7K) = 8K (1 * 2 + K * 2) + -1(5 + -7K) = 8K (2 + 2K) + -1(5 + -7K) = 8K 2 + 2K + (5 * -1 + -7K * -1) = 8K 2 + 2K + (-5 + 7K) = 8K Reorder the terms: 2 + -5 + 2K + 7K = 8K Combine like terms: 2 + -5 = -3 -3 + 2K + 7K = 8K Combine like terms: 2K + 7K = 9K -3 + 9K = 8K Solving -3 + 9K = 8K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-8K' to each side of the equation. -3 + 9K + -8K = 8K + -8K Combine like terms: 9K + -8K = 1K -3 + 1K = 8K + -8K Combine like terms: 8K + -8K = 0 -3 + 1K = 0 Add '3' to each side of the equation. -3 + 3 + 1K = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1K = 0 + 3 1K = 0 + 3 Combine like terms: 0 + 3 = 3 1K = 3 Divide each side by '1'. K = 3 Simplifying K = 3
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