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Simplifying 4 + 8k + -9k + -9 + 2k = 0 Reorder the terms: 4 + -9 + 8k + -9k + 2k = 0 Combine like terms: 4 + -9 = -5 -5 + 8k + -9k + 2k = 0 Combine like terms: 8k + -9k = -1k -5 + -1k + 2k = 0 Combine like terms: -1k + 2k = 1k -5 + 1k = 0 Solving -5 + 1k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1k = 0 + 5 1k = 0 + 5 Combine like terms: 0 + 5 = 5 1k = 5 Divide each side by '1'. k = 5 Simplifying k = 5
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