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Simplifying -1k + 3 = 5 + -9k + 7k Reorder the terms: 3 + -1k = 5 + -9k + 7k Combine like terms: -9k + 7k = -2k 3 + -1k = 5 + -2k Solving 3 + -1k = 5 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 3 + -1k + 2k = 5 + -2k + 2k Combine like terms: -1k + 2k = 1k 3 + 1k = 5 + -2k + 2k Combine like terms: -2k + 2k = 0 3 + 1k = 5 + 0 3 + 1k = 5 Add '-3' to each side of the equation. 3 + -3 + 1k = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 1k = 5 + -3 1k = 5 + -3 Combine like terms: 5 + -3 = 2 1k = 2 Divide each side by '1'. k = 2 Simplifying k = 2
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