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Simplifying K + -3 + 8k = 6(k + 1) Reorder the terms: -3 + K + 8k = 6(k + 1) Reorder the terms: -3 + K + 8k = 6(1 + k) -3 + K + 8k = (1 * 6 + k * 6) -3 + K + 8k = (6 + 6k) Solving -3 + K + 8k = 6 + 6k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '3' to each side of the equation. -3 + K + 3 + 8k = 6 + 3 + 6k Reorder the terms: -3 + 3 + K + 8k = 6 + 3 + 6k Combine like terms: -3 + 3 = 0 0 + K + 8k = 6 + 3 + 6k K + 8k = 6 + 3 + 6k Combine like terms: 6 + 3 = 9 K + 8k = 9 + 6k Add '-8k' to each side of the equation. K + 8k + -8k = 9 + 6k + -8k Combine like terms: 8k + -8k = 0 K + 0 = 9 + 6k + -8k K = 9 + 6k + -8k Combine like terms: 6k + -8k = -2k K = 9 + -2k Simplifying K = 9 + -2k
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