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Simplifying -3(k + -6) + -1(-4K + -2) = -4 Reorder the terms: -3(-6 + k) + -1(-4K + -2) = -4 (-6 * -3 + k * -3) + -1(-4K + -2) = -4 (18 + -3k) + -1(-4K + -2) = -4 Reorder the terms: 18 + -3k + -1(-2 + -4K) = -4 18 + -3k + (-2 * -1 + -4K * -1) = -4 18 + -3k + (2 + 4K) = -4 Reorder the terms: 18 + 2 + 4K + -3k = -4 Combine like terms: 18 + 2 = 20 20 + 4K + -3k = -4 Solving 20 + 4K + -3k = -4 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 4K + -20 + -3k = -4 + -20 Reorder the terms: 20 + -20 + 4K + -3k = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 4K + -3k = -4 + -20 4K + -3k = -4 + -20 Combine like terms: -4 + -20 = -24 4K + -3k = -24 Add '3k' to each side of the equation. 4K + -3k + 3k = -24 + 3k Combine like terms: -3k + 3k = 0 4K + 0 = -24 + 3k 4K = -24 + 3k Divide each side by '4'. K = -6 + 0.75k Simplifying K = -6 + 0.75k
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