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Simplifying (K + -9) * 4 = 9k + 45 Reorder the terms: (-9 + K) * 4 = 9k + 45 Reorder the terms for easier multiplication: 4(-9 + K) = 9k + 45 (-9 * 4 + K * 4) = 9k + 45 (-36 + 4K) = 9k + 45 Reorder the terms: -36 + 4K = 45 + 9k Solving -36 + 4K = 45 + 9k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 4K = 45 + 36 + 9k Combine like terms: -36 + 36 = 0 0 + 4K = 45 + 36 + 9k 4K = 45 + 36 + 9k Combine like terms: 45 + 36 = 81 4K = 81 + 9k Divide each side by '4'. K = 20.25 + 2.25k Simplifying K = 20.25 + 2.25k
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