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Simplifying (5K + -3) + (K + 2) + (3K + -11) = 1 + 2 + 3 Reorder the terms: (-3 + 5K) + (K + 2) + (3K + -11) = 1 + 2 + 3 Remove parenthesis around (-3 + 5K) -3 + 5K + (K + 2) + (3K + -11) = 1 + 2 + 3 Reorder the terms: -3 + 5K + (2 + K) + (3K + -11) = 1 + 2 + 3 Remove parenthesis around (2 + K) -3 + 5K + 2 + K + (3K + -11) = 1 + 2 + 3 Reorder the terms: -3 + 5K + 2 + K + (-11 + 3K) = 1 + 2 + 3 Remove parenthesis around (-11 + 3K) -3 + 5K + 2 + K + -11 + 3K = 1 + 2 + 3 Reorder the terms: -3 + 2 + -11 + 5K + K + 3K = 1 + 2 + 3 Combine like terms: -3 + 2 = -1 -1 + -11 + 5K + K + 3K = 1 + 2 + 3 Combine like terms: -1 + -11 = -12 -12 + 5K + K + 3K = 1 + 2 + 3 Combine like terms: 5K + K = 6K -12 + 6K + 3K = 1 + 2 + 3 Combine like terms: 6K + 3K = 9K -12 + 9K = 1 + 2 + 3 Combine like terms: 1 + 2 = 3 -12 + 9K = 3 + 3 Combine like terms: 3 + 3 = 6 -12 + 9K = 6 Solving -12 + 9K = 6 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 9K = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 9K = 6 + 12 9K = 6 + 12 Combine like terms: 6 + 12 = 18 9K = 18 Divide each side by '9'. K = 2 Simplifying K = 2
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