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Simplifying 4(2k + -1) = 3(K + 2) Reorder the terms: 4(-1 + 2k) = 3(K + 2) (-1 * 4 + 2k * 4) = 3(K + 2) (-4 + 8k) = 3(K + 2) Reorder the terms: -4 + 8k = 3(2 + K) -4 + 8k = (2 * 3 + K * 3) -4 + 8k = (6 + 3K) Solving -4 + 8k = 6 + 3K 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 + 4 + 8k = 6 + 4 + 3K Combine like terms: -4 + 4 = 0 0 + 8k = 6 + 4 + 3K 8k = 6 + 4 + 3K Combine like terms: 6 + 4 = 10 8k = 10 + 3K Divide each side by '8'. k = 1.25 + 0.375K Simplifying k = 1.25 + 0.375K
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