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Simplifying 3(8 + -1K) + -8(0.5) = 2K (8 * 3 + -1K * 3) + -8(0.5) = 2K (24 + -3K) + -8(0.5) = 2K Multiply -8 * 0.5 24 + -3K + -4 = 2K Reorder the terms: 24 + -4 + -3K = 2K Combine like terms: 24 + -4 = 20 20 + -3K = 2K Solving 20 + -3K = 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. 20 + -3K + -2K = 2K + -2K Combine like terms: -3K + -2K = -5K 20 + -5K = 2K + -2K Combine like terms: 2K + -2K = 0 20 + -5K = 0 Add '-20' to each side of the equation. 20 + -20 + -5K = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -5K = 0 + -20 -5K = 0 + -20 Combine like terms: 0 + -20 = -20 -5K = -20 Divide each side by '-5'. K = 4 Simplifying K = 4
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