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Simplifying -6k + -19 = 6 + -13k Reorder the terms: -19 + -6k = 6 + -13k Solving -19 + -6k = 6 + -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. -19 + -6k + 13k = 6 + -13k + 13k Combine like terms: -6k + 13k = 7k -19 + 7k = 6 + -13k + 13k Combine like terms: -13k + 13k = 0 -19 + 7k = 6 + 0 -19 + 7k = 6 Add '19' to each side of the equation. -19 + 19 + 7k = 6 + 19 Combine like terms: -19 + 19 = 0 0 + 7k = 6 + 19 7k = 6 + 19 Combine like terms: 6 + 19 = 25 7k = 25 Divide each side by '7'. k = 3.571428571 Simplifying k = 3.571428571
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