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Simplifying -2K + -3(4 + -2K) = 2K + -3 -2K + (4 * -3 + -2K * -3) = 2K + -3 -2K + (-12 + 6K) = 2K + -3 Reorder the terms: -12 + -2K + 6K = 2K + -3 Combine like terms: -2K + 6K = 4K -12 + 4K = 2K + -3 Reorder the terms: -12 + 4K = -3 + 2K Solving -12 + 4K = -3 + 2K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-2K' to each side of the equation. -12 + 4K + -2K = -3 + 2K + -2K Combine like terms: 4K + -2K = 2K -12 + 2K = -3 + 2K + -2K Combine like terms: 2K + -2K = 0 -12 + 2K = -3 + 0 -12 + 2K = -3 Add '12' to each side of the equation. -12 + 12 + 2K = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 2K = -3 + 12 2K = -3 + 12 Combine like terms: -3 + 12 = 9 2K = 9 Divide each side by '2'. K = 4.5 Simplifying K = 4.5
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