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Simplifying 32 = 3 + 9(K + -7) Reorder the terms: 32 = 3 + 9(-7 + K) 32 = 3 + (-7 * 9 + K * 9) 32 = 3 + (-63 + 9K) Combine like terms: 3 + -63 = -60 32 = -60 + 9K Solving 32 = -60 + 9K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-9K' to each side of the equation. 32 + -9K = -60 + 9K + -9K Combine like terms: 9K + -9K = 0 32 + -9K = -60 + 0 32 + -9K = -60 Add '-32' to each side of the equation. 32 + -32 + -9K = -60 + -32 Combine like terms: 32 + -32 = 0 0 + -9K = -60 + -32 -9K = -60 + -32 Combine like terms: -60 + -32 = -92 -9K = -92 Divide each side by '-9'. K = 10.22222222 Simplifying K = 10.22222222
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