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Simplifying 2k + 5k + 8 = 78 Reorder the terms: 8 + 2k + 5k = 78 Combine like terms: 2k + 5k = 7k 8 + 7k = 78 Solving 8 + 7k = 78 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7k = 78 + -8 Combine like terms: 8 + -8 = 0 0 + 7k = 78 + -8 7k = 78 + -8 Combine like terms: 78 + -8 = 70 7k = 70 Divide each side by '7'. k = 10 Simplifying k = 10
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