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Simplifying K + -11 + 6k = 3(k + 3) Reorder the terms: -11 + K + 6k = 3(k + 3) Reorder the terms: -11 + K + 6k = 3(3 + k) -11 + K + 6k = (3 * 3 + k * 3) -11 + K + 6k = (9 + 3k) Solving -11 + K + 6k = 9 + 3k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '11' to each side of the equation. -11 + K + 11 + 6k = 9 + 11 + 3k Reorder the terms: -11 + 11 + K + 6k = 9 + 11 + 3k Combine like terms: -11 + 11 = 0 0 + K + 6k = 9 + 11 + 3k K + 6k = 9 + 11 + 3k Combine like terms: 9 + 11 = 20 K + 6k = 20 + 3k Add '-6k' to each side of the equation. K + 6k + -6k = 20 + 3k + -6k Combine like terms: 6k + -6k = 0 K + 0 = 20 + 3k + -6k K = 20 + 3k + -6k Combine like terms: 3k + -6k = -3k K = 20 + -3k Simplifying K = 20 + -3k
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