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Simplifying 2(4K + -2) + -2k = 7k + -3 Reorder the terms: 2(-2 + 4K) + -2k = 7k + -3 (-2 * 2 + 4K * 2) + -2k = 7k + -3 (-4 + 8K) + -2k = 7k + -3 Reorder the terms: -4 + 8K + -2k = -3 + 7k Solving -4 + 8K + -2k = -3 + 7k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 8K + 4 + -2k = -3 + 4 + 7k Reorder the terms: -4 + 4 + 8K + -2k = -3 + 4 + 7k Combine like terms: -4 + 4 = 0 0 + 8K + -2k = -3 + 4 + 7k 8K + -2k = -3 + 4 + 7k Combine like terms: -3 + 4 = 1 8K + -2k = 1 + 7k Add '2k' to each side of the equation. 8K + -2k + 2k = 1 + 7k + 2k Combine like terms: -2k + 2k = 0 8K + 0 = 1 + 7k + 2k 8K = 1 + 7k + 2k Combine like terms: 7k + 2k = 9k 8K = 1 + 9k Divide each side by '8'. K = 0.125 + 1.125k Simplifying K = 0.125 + 1.125k
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