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Simplifying 7k + 2 = 6k + -5 Reorder the terms: 2 + 7k = 6k + -5 Reorder the terms: 2 + 7k = -5 + 6k Solving 2 + 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. 2 + 7k + -6k = -5 + 6k + -6k Combine like terms: 7k + -6k = 1k 2 + 1k = -5 + 6k + -6k Combine like terms: 6k + -6k = 0 2 + 1k = -5 + 0 2 + 1k = -5 Add '-2' to each side of the equation. 2 + -2 + 1k = -5 + -2 Combine like terms: 2 + -2 = 0 0 + 1k = -5 + -2 1k = -5 + -2 Combine like terms: -5 + -2 = -7 1k = -7 Divide each side by '1'. k = -7 Simplifying k = -7
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