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Simplifying -12K + -12K = -6(6K + 4) + 8(9 + 3K) Combine like terms: -12K + -12K = -24K -24K = -6(6K + 4) + 8(9 + 3K) Reorder the terms: -24K = -6(4 + 6K) + 8(9 + 3K) -24K = (4 * -6 + 6K * -6) + 8(9 + 3K) -24K = (-24 + -36K) + 8(9 + 3K) -24K = -24 + -36K + (9 * 8 + 3K * 8) -24K = -24 + -36K + (72 + 24K) Reorder the terms: -24K = -24 + 72 + -36K + 24K Combine like terms: -24 + 72 = 48 -24K = 48 + -36K + 24K Combine like terms: -36K + 24K = -12K -24K = 48 + -12K Solving -24K = 48 + -12K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '12K' to each side of the equation. -24K + 12K = 48 + -12K + 12K Combine like terms: -24K + 12K = -12K -12K = 48 + -12K + 12K Combine like terms: -12K + 12K = 0 -12K = 48 + 0 -12K = 48 Divide each side by '-12'. K = -4 Simplifying K = -4
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