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Simplifying 38 + 6K = 8(K + 4) Reorder the terms: 38 + 6K = 8(4 + K) 38 + 6K = (4 * 8 + K * 8) 38 + 6K = (32 + 8K) Solving 38 + 6K = 32 + 8K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-8K' to each side of the equation. 38 + 6K + -8K = 32 + 8K + -8K Combine like terms: 6K + -8K = -2K 38 + -2K = 32 + 8K + -8K Combine like terms: 8K + -8K = 0 38 + -2K = 32 + 0 38 + -2K = 32 Add '-38' to each side of the equation. 38 + -38 + -2K = 32 + -38 Combine like terms: 38 + -38 = 0 0 + -2K = 32 + -38 -2K = 32 + -38 Combine like terms: 32 + -38 = -6 -2K = -6 Divide each side by '-2'. K = 3 Simplifying K = 3
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