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Simplifying 7k + 1 = 15 + 5k Reorder the terms: 1 + 7k = 15 + 5k Solving 1 + 7k = 15 + 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. 1 + 7k + -5k = 15 + 5k + -5k Combine like terms: 7k + -5k = 2k 1 + 2k = 15 + 5k + -5k Combine like terms: 5k + -5k = 0 1 + 2k = 15 + 0 1 + 2k = 15 Add '-1' to each side of the equation. 1 + -1 + 2k = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 2k = 15 + -1 2k = 15 + -1 Combine like terms: 15 + -1 = 14 2k = 14 Divide each side by '2'. k = 7 Simplifying k = 7
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