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Simplifying 7(K + -4) = 2(11 + K) Reorder the terms: 7(-4 + K) = 2(11 + K) (-4 * 7 + K * 7) = 2(11 + K) (-28 + 7K) = 2(11 + K) -28 + 7K = (11 * 2 + K * 2) -28 + 7K = (22 + 2K) Solving -28 + 7K = 22 + 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. -28 + 7K + -2K = 22 + 2K + -2K Combine like terms: 7K + -2K = 5K -28 + 5K = 22 + 2K + -2K Combine like terms: 2K + -2K = 0 -28 + 5K = 22 + 0 -28 + 5K = 22 Add '28' to each side of the equation. -28 + 28 + 5K = 22 + 28 Combine like terms: -28 + 28 = 0 0 + 5K = 22 + 28 5K = 22 + 28 Combine like terms: 22 + 28 = 50 5K = 50 Divide each side by '5'. K = 10 Simplifying K = 10
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