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Simplifying 6 = 7k + 8 + -1k Reorder the terms: 6 = 8 + 7k + -1k Combine like terms: 7k + -1k = 6k 6 = 8 + 6k Solving 6 = 8 + 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. 6 + -6k = 8 + 6k + -6k Combine like terms: 6k + -6k = 0 6 + -6k = 8 + 0 6 + -6k = 8 Add '-6' to each side of the equation. 6 + -6 + -6k = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -6k = 8 + -6 -6k = 8 + -6 Combine like terms: 8 + -6 = 2 -6k = 2 Divide each side by '-6'. k = -0.3333333333 Simplifying k = -0.3333333333
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