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Simplifying 9 + 3k = 5K + -1 + 4k + -2 Reorder the terms: 9 + 3k = -1 + -2 + 5K + 4k Combine like terms: -1 + -2 = -3 9 + 3k = -3 + 5K + 4k Solving 9 + 3k = -3 + 5K + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 9 + 3k + -4k = -3 + 5K + 4k + -4k Combine like terms: 3k + -4k = -1k 9 + -1k = -3 + 5K + 4k + -4k Combine like terms: 4k + -4k = 0 9 + -1k = -3 + 5K + 0 9 + -1k = -3 + 5K Add '-9' to each side of the equation. 9 + -9 + -1k = -3 + -9 + 5K Combine like terms: 9 + -9 = 0 0 + -1k = -3 + -9 + 5K -1k = -3 + -9 + 5K Combine like terms: -3 + -9 = -12 -1k = -12 + 5K Divide each side by '-1'. k = 12 + -5K Simplifying k = 12 + -5K
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