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Simplifying 11 + 7k = k + 5 + 5k Reorder the terms: 11 + 7k = 5 + k + 5k Combine like terms: k + 5k = 6k 11 + 7k = 5 + 6k Solving 11 + 7k = 5 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 11 + 7k + -6k = 5 + 6k + -6k Combine like terms: 7k + -6k = 1k 11 + 1k = 5 + 6k + -6k Combine like terms: 6k + -6k = 0 11 + 1k = 5 + 0 11 + 1k = 5 Add '-11' to each side of the equation. 11 + -11 + 1k = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 1k = 5 + -11 1k = 5 + -11 Combine like terms: 5 + -11 = -6 1k = -6 Divide each side by '1'. k = -6 Simplifying k = -6
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