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Simplifying K + -6 + 8k = 5(k + 2) Reorder the terms: -6 + K + 8k = 5(k + 2) Reorder the terms: -6 + K + 8k = 5(2 + k) -6 + K + 8k = (2 * 5 + k * 5) -6 + K + 8k = (10 + 5k) Solving -6 + K + 8k = 10 + 5k 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 + 8k = 10 + 6 + 5k Reorder the terms: -6 + 6 + K + 8k = 10 + 6 + 5k Combine like terms: -6 + 6 = 0 0 + K + 8k = 10 + 6 + 5k K + 8k = 10 + 6 + 5k Combine like terms: 10 + 6 = 16 K + 8k = 16 + 5k Add '-8k' to each side of the equation. K + 8k + -8k = 16 + 5k + -8k Combine like terms: 8k + -8k = 0 K + 0 = 16 + 5k + -8k K = 16 + 5k + -8k Combine like terms: 5k + -8k = -3k K = 16 + -3k Simplifying K = 16 + -3k
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