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Simplifying 3(2K + 6) = 2(K + 5) Reorder the terms: 3(6 + 2K) = 2(K + 5) (6 * 3 + 2K * 3) = 2(K + 5) (18 + 6K) = 2(K + 5) Reorder the terms: 18 + 6K = 2(5 + K) 18 + 6K = (5 * 2 + K * 2) 18 + 6K = (10 + 2K) Solving 18 + 6K = 10 + 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. 18 + 6K + -2K = 10 + 2K + -2K Combine like terms: 6K + -2K = 4K 18 + 4K = 10 + 2K + -2K Combine like terms: 2K + -2K = 0 18 + 4K = 10 + 0 18 + 4K = 10 Add '-18' to each side of the equation. 18 + -18 + 4K = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 4K = 10 + -18 4K = 10 + -18 Combine like terms: 10 + -18 = -8 4K = -8 Divide each side by '4'. K = -2 Simplifying K = -2
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