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Simplifying -6k + 8 = 54 + k Reorder the terms: 8 + -6k = 54 + k Solving 8 + -6k = 54 + 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. 8 + -6k + -1k = 54 + k + -1k Combine like terms: -6k + -1k = -7k 8 + -7k = 54 + k + -1k Combine like terms: k + -1k = 0 8 + -7k = 54 + 0 8 + -7k = 54 Add '-8' to each side of the equation. 8 + -8 + -7k = 54 + -8 Combine like terms: 8 + -8 = 0 0 + -7k = 54 + -8 -7k = 54 + -8 Combine like terms: 54 + -8 = 46 -7k = 46 Divide each side by '-7'. k = -6.571428571 Simplifying k = -6.571428571
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