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Simplifying 4K + 7(-2k) = -2(k + -2) Remove parenthesis around (-2k) 4K + 7 * -2k = -2(k + -2) Multiply 7 * -2 4K + -14k = -2(k + -2) Reorder the terms: 4K + -14k = -2(-2 + k) 4K + -14k = (-2 * -2 + k * -2) 4K + -14k = (4 + -2k) Solving 4K + -14k = 4 + -2k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '14k' to each side of the equation. 4K + -14k + 14k = 4 + -2k + 14k Combine like terms: -14k + 14k = 0 4K + 0 = 4 + -2k + 14k 4K = 4 + -2k + 14k Combine like terms: -2k + 14k = 12k 4K = 4 + 12k Divide each side by '4'. K = 1 + 3k Simplifying K = 1 + 3k
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