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Simplifying 172 = 8K + 6(3K + 7) Reorder the terms: 172 = 8K + 6(7 + 3K) 172 = 8K + (7 * 6 + 3K * 6) 172 = 8K + (42 + 18K) Reorder the terms: 172 = 42 + 8K + 18K Combine like terms: 8K + 18K = 26K 172 = 42 + 26K Solving 172 = 42 + 26K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-26K' to each side of the equation. 172 + -26K = 42 + 26K + -26K Combine like terms: 26K + -26K = 0 172 + -26K = 42 + 0 172 + -26K = 42 Add '-172' to each side of the equation. 172 + -172 + -26K = 42 + -172 Combine like terms: 172 + -172 = 0 0 + -26K = 42 + -172 -26K = 42 + -172 Combine like terms: 42 + -172 = -130 -26K = -130 Divide each side by '-26'. K = 5 Simplifying K = 5
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