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Simplifying 2(K + 2) + -5(3 + -2K) = 34 Reorder the terms: 2(2 + K) + -5(3 + -2K) = 34 (2 * 2 + K * 2) + -5(3 + -2K) = 34 (4 + 2K) + -5(3 + -2K) = 34 4 + 2K + (3 * -5 + -2K * -5) = 34 4 + 2K + (-15 + 10K) = 34 Reorder the terms: 4 + -15 + 2K + 10K = 34 Combine like terms: 4 + -15 = -11 -11 + 2K + 10K = 34 Combine like terms: 2K + 10K = 12K -11 + 12K = 34 Solving -11 + 12K = 34 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 12K = 34 + 11 Combine like terms: -11 + 11 = 0 0 + 12K = 34 + 11 12K = 34 + 11 Combine like terms: 34 + 11 = 45 12K = 45 Divide each side by '12'. K = 3.75 Simplifying K = 3.75
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