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Simplifying 8k + -1(9 + K) = -1(5K + 9) 8k + (9 * -1 + K * -1) = -1(5K + 9) 8k + (-9 + -1K) = -1(5K + 9) Reorder the terms: -9 + -1K + 8k = -1(5K + 9) Reorder the terms: -9 + -1K + 8k = -1(9 + 5K) -9 + -1K + 8k = (9 * -1 + 5K * -1) -9 + -1K + 8k = (-9 + -5K) Add '9' to each side of the equation. -9 + -1K + 9 + 8k = -9 + 9 + -5K Reorder the terms: -9 + 9 + -1K + 8k = -9 + 9 + -5K Combine like terms: -9 + 9 = 0 0 + -1K + 8k = -9 + 9 + -5K -1K + 8k = -9 + 9 + -5K Combine like terms: -9 + 9 = 0 -1K + 8k = 0 + -5K -1K + 8k = -5K Solving -1K + 8k = -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. -1K + 5K + 8k = -5K + 5K Combine like terms: -1K + 5K = 4K 4K + 8k = -5K + 5K Combine like terms: -5K + 5K = 0 4K + 8k = 0 Add '-8k' to each side of the equation. 4K + 8k + -8k = 0 + -8k Combine like terms: 8k + -8k = 0 4K + 0 = 0 + -8k 4K = 0 + -8k Remove the zero: 4K = -8k Divide each side by '4'. K = -2k Simplifying K = -2k
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