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Simplifying 7k + 8 = 1 + 6k Reorder the terms: 8 + 7k = 1 + 6k Solving 8 + 7k = 1 + 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. 8 + 7k + -6k = 1 + 6k + -6k Combine like terms: 7k + -6k = 1k 8 + 1k = 1 + 6k + -6k Combine like terms: 6k + -6k = 0 8 + 1k = 1 + 0 8 + 1k = 1 Add '-8' to each side of the equation. 8 + -8 + 1k = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 1k = 1 + -8 1k = 1 + -8 Combine like terms: 1 + -8 = -7 1k = -7 Divide each side by '1'. k = -7 Simplifying k = -7
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