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Simplifying k + 5 = 7k + -19 Reorder the terms: 5 + k = 7k + -19 Reorder the terms: 5 + k = -19 + 7k Solving 5 + k = -19 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 5 + k + -7k = -19 + 7k + -7k Combine like terms: k + -7k = -6k 5 + -6k = -19 + 7k + -7k Combine like terms: 7k + -7k = 0 5 + -6k = -19 + 0 5 + -6k = -19 Add '-5' to each side of the equation. 5 + -5 + -6k = -19 + -5 Combine like terms: 5 + -5 = 0 0 + -6k = -19 + -5 -6k = -19 + -5 Combine like terms: -19 + -5 = -24 -6k = -24 Divide each side by '-6'. k = 4 Simplifying k = 4
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