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Simplifying 3K + 9 = 9 + -1(K + 8) Reorder the terms: 9 + 3K = 9 + -1(K + 8) Reorder the terms: 9 + 3K = 9 + -1(8 + K) 9 + 3K = 9 + (8 * -1 + K * -1) 9 + 3K = 9 + (-8 + -1K) Combine like terms: 9 + -8 = 1 9 + 3K = 1 + -1K Solving 9 + 3K = 1 + -1K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add 'K' to each side of the equation. 9 + 3K + K = 1 + -1K + K Combine like terms: 3K + K = 4K 9 + 4K = 1 + -1K + K Combine like terms: -1K + K = 0 9 + 4K = 1 + 0 9 + 4K = 1 Add '-9' to each side of the equation. 9 + -9 + 4K = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 4K = 1 + -9 4K = 1 + -9 Combine like terms: 1 + -9 = -8 4K = -8 Divide each side by '4'. K = -2 Simplifying K = -2
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