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Simplifying -3(K + -5) + -1(-4K + -2) = 4 Reorder the terms: -3(-5 + K) + -1(-4K + -2) = 4 (-5 * -3 + K * -3) + -1(-4K + -2) = 4 (15 + -3K) + -1(-4K + -2) = 4 Reorder the terms: 15 + -3K + -1(-2 + -4K) = 4 15 + -3K + (-2 * -1 + -4K * -1) = 4 15 + -3K + (2 + 4K) = 4 Reorder the terms: 15 + 2 + -3K + 4K = 4 Combine like terms: 15 + 2 = 17 17 + -3K + 4K = 4 Combine like terms: -3K + 4K = 1K 17 + 1K = 4 Solving 17 + 1K = 4 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1K = 4 + -17 Combine like terms: 17 + -17 = 0 0 + 1K = 4 + -17 1K = 4 + -17 Combine like terms: 4 + -17 = -13 1K = -13 Divide each side by '1'. K = -13 Simplifying K = -13
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