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