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Simplifying 7k + 1 = k Reorder the terms: 1 + 7k = k Solving 1 + 7k = 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. 1 + 7k + -1k = k + -1k Combine like terms: 7k + -1k = 6k 1 + 6k = k + -1k Combine like terms: k + -1k = 0 1 + 6k = 0 Add '-1' to each side of the equation. 1 + -1 + 6k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6k = 0 + -1 6k = 0 + -1 Combine like terms: 0 + -1 = -1 6k = -1 Divide each side by '6'. k = -0.1666666667 Simplifying k = -0.1666666667
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