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Simplifying 7k + -5k + 39 = 1 Reorder the terms: 39 + 7k + -5k = 1 Combine like terms: 7k + -5k = 2k 39 + 2k = 1 Solving 39 + 2k = 1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 2k = 1 + -39 Combine like terms: 39 + -39 = 0 0 + 2k = 1 + -39 2k = 1 + -39 Combine like terms: 1 + -39 = -38 2k = -38 Divide each side by '2'. k = -19 Simplifying k = -19
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