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Simplifying 2(3K + 2) + -12K + 8 + 5 = 0 Reorder the terms: 2(2 + 3K) + -12K + 8 + 5 = 0 (2 * 2 + 3K * 2) + -12K + 8 + 5 = 0 (4 + 6K) + -12K + 8 + 5 = 0 Reorder the terms: 4 + 8 + 5 + 6K + -12K = 0 Combine like terms: 4 + 8 = 12 12 + 5 + 6K + -12K = 0 Combine like terms: 12 + 5 = 17 17 + 6K + -12K = 0 Combine like terms: 6K + -12K = -6K 17 + -6K = 0 Solving 17 + -6K = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -6K = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6K = 0 + -17 -6K = 0 + -17 Combine like terms: 0 + -17 = -17 -6K = -17 Divide each side by '-6'. K = 2.833333333 Simplifying K = 2.833333333
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