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Simplifying 30 + 2k + 5k + 30 = 100 Reorder the terms: 30 + 30 + 2k + 5k = 100 Combine like terms: 30 + 30 = 60 60 + 2k + 5k = 100 Combine like terms: 2k + 5k = 7k 60 + 7k = 100 Solving 60 + 7k = 100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 7k = 100 + -60 Combine like terms: 60 + -60 = 0 0 + 7k = 100 + -60 7k = 100 + -60 Combine like terms: 100 + -60 = 40 7k = 40 Divide each side by '7'. k = 5.714285714 Simplifying k = 5.714285714
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