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Simplifying 2(4K + -2) + -2k = 4k + -1 Reorder the terms: 2(-2 + 4K) + -2k = 4k + -1 (-2 * 2 + 4K * 2) + -2k = 4k + -1 (-4 + 8K) + -2k = 4k + -1 Reorder the terms: -4 + 8K + -2k = -1 + 4k Solving -4 + 8K + -2k = -1 + 4k 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 = -1 + 4 + 4k Reorder the terms: -4 + 4 + 8K + -2k = -1 + 4 + 4k Combine like terms: -4 + 4 = 0 0 + 8K + -2k = -1 + 4 + 4k 8K + -2k = -1 + 4 + 4k Combine like terms: -1 + 4 = 3 8K + -2k = 3 + 4k Add '2k' to each side of the equation. 8K + -2k + 2k = 3 + 4k + 2k Combine like terms: -2k + 2k = 0 8K + 0 = 3 + 4k + 2k 8K = 3 + 4k + 2k Combine like terms: 4k + 2k = 6k 8K = 3 + 6k Divide each side by '8'. K = 0.375 + 0.75k Simplifying K = 0.375 + 0.75k
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