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Simplifying 2k + 9 = -7k Reorder the terms: 9 + 2k = -7k Solving 9 + 2k = -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 9 + 2k + 7k = -7k + 7k Combine like terms: 2k + 7k = 9k 9 + 9k = -7k + 7k Combine like terms: -7k + 7k = 0 9 + 9k = 0 Add '-9' to each side of the equation. 9 + -9 + 9k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9k = 0 + -9 9k = 0 + -9 Combine like terms: 0 + -9 = -9 9k = -9 Divide each side by '9'. k = -1 Simplifying k = -1
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