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Simplifying 7k + 1 = 5k + 9 Reorder the terms: 1 + 7k = 5k + 9 Reorder the terms: 1 + 7k = 9 + 5k Solving 1 + 7k = 9 + 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 = 9 + 5k + -5k Combine like terms: 7k + -5k = 2k 1 + 2k = 9 + 5k + -5k Combine like terms: 5k + -5k = 0 1 + 2k = 9 + 0 1 + 2k = 9 Add '-1' to each side of the equation. 1 + -1 + 2k = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2k = 9 + -1 2k = 9 + -1 Combine like terms: 9 + -1 = 8 2k = 8 Divide each side by '2'. k = 4 Simplifying k = 4
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