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Simplifying 7k + 15 = 5k + 35 Reorder the terms: 15 + 7k = 5k + 35 Reorder the terms: 15 + 7k = 35 + 5k Solving 15 + 7k = 35 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 15 + 7k + -5k = 35 + 5k + -5k Combine like terms: 7k + -5k = 2k 15 + 2k = 35 + 5k + -5k Combine like terms: 5k + -5k = 0 15 + 2k = 35 + 0 15 + 2k = 35 Add '-15' to each side of the equation. 15 + -15 + 2k = 35 + -15 Combine like terms: 15 + -15 = 0 0 + 2k = 35 + -15 2k = 35 + -15 Combine like terms: 35 + -15 = 20 2k = 20 Divide each side by '2'. k = 10 Simplifying k = 10
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