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Simplifying 3(2 + 3K) + 4(X + -2) = 5 (2 * 3 + 3K * 3) + 4(X + -2) = 5 (6 + 9K) + 4(X + -2) = 5 Reorder the terms: 6 + 9K + 4(-2 + X) = 5 6 + 9K + (-2 * 4 + X * 4) = 5 6 + 9K + (-8 + 4X) = 5 Reorder the terms: 6 + -8 + 9K + 4X = 5 Combine like terms: 6 + -8 = -2 -2 + 9K + 4X = 5 Solving -2 + 9K + 4X = 5 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 9K + 2 + 4X = 5 + 2 Reorder the terms: -2 + 2 + 9K + 4X = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 9K + 4X = 5 + 2 9K + 4X = 5 + 2 Combine like terms: 5 + 2 = 7 9K + 4X = 7 Add '-4X' to each side of the equation. 9K + 4X + -4X = 7 + -4X Combine like terms: 4X + -4X = 0 9K + 0 = 7 + -4X 9K = 7 + -4X Divide each side by '9'. K = 0.7777777778 + -0.4444444444X Simplifying K = 0.7777777778 + -0.4444444444X
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