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Simplifying 7k + 2 = 5k + 10 Reorder the terms: 2 + 7k = 5k + 10 Reorder the terms: 2 + 7k = 10 + 5k Solving 2 + 7k = 10 + 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. 2 + 7k + -5k = 10 + 5k + -5k Combine like terms: 7k + -5k = 2k 2 + 2k = 10 + 5k + -5k Combine like terms: 5k + -5k = 0 2 + 2k = 10 + 0 2 + 2k = 10 Add '-2' to each side of the equation. 2 + -2 + 2k = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 2k = 10 + -2 2k = 10 + -2 Combine like terms: 10 + -2 = 8 2k = 8 Divide each side by '2'. k = 4 Simplifying k = 4
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