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Simplifying 5 + 7k = k + -2 + 6 + -5 Reorder the terms: 5 + 7k = -2 + 6 + -5 + k Combine like terms: -2 + 6 = 4 5 + 7k = 4 + -5 + k Combine like terms: 4 + -5 = -1 5 + 7k = -1 + k Solving 5 + 7k = -1 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 5 + 7k + -1k = -1 + k + -1k Combine like terms: 7k + -1k = 6k 5 + 6k = -1 + k + -1k Combine like terms: k + -1k = 0 5 + 6k = -1 + 0 5 + 6k = -1 Add '-5' to each side of the equation. 5 + -5 + 6k = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 6k = -1 + -5 6k = -1 + -5 Combine like terms: -1 + -5 = -6 6k = -6 Divide each side by '6'. k = -1 Simplifying k = -1
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