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Simplifying K + 6 + -4k = 3(5 + -1k) Reorder the terms: 6 + K + -4k = 3(5 + -1k) 6 + K + -4k = (5 * 3 + -1k * 3) 6 + K + -4k = (15 + -3k) Solving 6 + K + -4k = 15 + -3k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + K + -6 + -4k = 15 + -6 + -3k Reorder the terms: 6 + -6 + K + -4k = 15 + -6 + -3k Combine like terms: 6 + -6 = 0 0 + K + -4k = 15 + -6 + -3k K + -4k = 15 + -6 + -3k Combine like terms: 15 + -6 = 9 K + -4k = 9 + -3k Add '4k' to each side of the equation. K + -4k + 4k = 9 + -3k + 4k Combine like terms: -4k + 4k = 0 K + 0 = 9 + -3k + 4k K = 9 + -3k + 4k Combine like terms: -3k + 4k = 1k K = 9 + 1k Simplifying K = 9 + 1k
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