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Simplifying 2k + 7k + 45 = 0 Reorder the terms: 45 + 2k + 7k = 0 Combine like terms: 2k + 7k = 9k 45 + 9k = 0 Solving 45 + 9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 9k = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 9k = 0 + -45 9k = 0 + -45 Combine like terms: 0 + -45 = -45 9k = -45 Divide each side by '9'. k = -5 Simplifying k = -5
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