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Simplifying 5 + -3k + 7 + -9k = 0 Reorder the terms: 5 + 7 + -3k + -9k = 0 Combine like terms: 5 + 7 = 12 12 + -3k + -9k = 0 Combine like terms: -3k + -9k = -12k 12 + -12k = 0 Solving 12 + -12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -12k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -12k = 0 + -12 -12k = 0 + -12 Combine like terms: 0 + -12 = -12 -12k = -12 Divide each side by '-12'. k = 1 Simplifying k = 1

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