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Simplifying K + -6(k + -6) = 9 + 4k Reorder the terms: K + -6(-6 + k) = 9 + 4k K + (-6 * -6 + k * -6) = 9 + 4k K + (36 + -6k) = 9 + 4k Reorder the terms: 36 + K + -6k = 9 + 4k Solving 36 + K + -6k = 9 + 4k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + K + -36 + -6k = 9 + -36 + 4k Reorder the terms: 36 + -36 + K + -6k = 9 + -36 + 4k Combine like terms: 36 + -36 = 0 0 + K + -6k = 9 + -36 + 4k K + -6k = 9 + -36 + 4k Combine like terms: 9 + -36 = -27 K + -6k = -27 + 4k Add '6k' to each side of the equation. K + -6k + 6k = -27 + 4k + 6k Combine like terms: -6k + 6k = 0 K + 0 = -27 + 4k + 6k K = -27 + 4k + 6k Combine like terms: 4k + 6k = 10k K = -27 + 10k Simplifying K = -27 + 10k
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