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Simplifying -1k + -2 + 7 + -9k = 0 Reorder the terms: -2 + 7 + -1k + -9k = 0 Combine like terms: -2 + 7 = 5 5 + -1k + -9k = 0 Combine like terms: -1k + -9k = -10k 5 + -10k = 0 Solving 5 + -10k = 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 + -10k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -10k = 0 + -5 -10k = 0 + -5 Combine like terms: 0 + -5 = -5 -10k = -5 Divide each side by '-10'. k = 0.5 Simplifying k = 0.5
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