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Simplifying 3 + 7k = 5k + -7 Reorder the terms: 3 + 7k = -7 + 5k Solving 3 + 7k = -7 + 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. 3 + 7k + -5k = -7 + 5k + -5k Combine like terms: 7k + -5k = 2k 3 + 2k = -7 + 5k + -5k Combine like terms: 5k + -5k = 0 3 + 2k = -7 + 0 3 + 2k = -7 Add '-3' to each side of the equation. 3 + -3 + 2k = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 2k = -7 + -3 2k = -7 + -3 Combine like terms: -7 + -3 = -10 2k = -10 Divide each side by '2'. k = -5 Simplifying k = -5
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