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Simplifying K + 3K + 32 = 27 + 2 + 5K Reorder the terms: 32 + K + 3K = 27 + 2 + 5K Combine like terms: K + 3K = 4K 32 + 4K = 27 + 2 + 5K Combine like terms: 27 + 2 = 29 32 + 4K = 29 + 5K Solving 32 + 4K = 29 + 5K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-5K' to each side of the equation. 32 + 4K + -5K = 29 + 5K + -5K Combine like terms: 4K + -5K = -1K 32 + -1K = 29 + 5K + -5K Combine like terms: 5K + -5K = 0 32 + -1K = 29 + 0 32 + -1K = 29 Add '-32' to each side of the equation. 32 + -32 + -1K = 29 + -32 Combine like terms: 32 + -32 = 0 0 + -1K = 29 + -32 -1K = 29 + -32 Combine like terms: 29 + -32 = -3 -1K = -3 Divide each side by '-1'. K = 3 Simplifying K = 3
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