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Simplifying K + 9 = 1 + 8(8k + 1) Reorder the terms: 9 + K = 1 + 8(8k + 1) Reorder the terms: 9 + K = 1 + 8(1 + 8k) 9 + K = 1 + (1 * 8 + 8k * 8) 9 + K = 1 + (8 + 64k) Combine like terms: 1 + 8 = 9 9 + K = 9 + 64k Add '-9' to each side of the equation. 9 + -9 + K = 9 + -9 + 64k Combine like terms: 9 + -9 = 0 0 + K = 9 + -9 + 64k K = 9 + -9 + 64k Combine like terms: 9 + -9 = 0 K = 0 + 64k K = 64k Solving K = 64k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Simplifying K = 64k
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