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