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Simplifying 7(k + 2) = 5(k + 4) Reorder the terms: 7(2 + k) = 5(k + 4) (2 * 7 + k * 7) = 5(k + 4) (14 + 7k) = 5(k + 4) Reorder the terms: 14 + 7k = 5(4 + k) 14 + 7k = (4 * 5 + k * 5) 14 + 7k = (20 + 5k) Solving 14 + 7k = 20 + 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. 14 + 7k + -5k = 20 + 5k + -5k Combine like terms: 7k + -5k = 2k 14 + 2k = 20 + 5k + -5k Combine like terms: 5k + -5k = 0 14 + 2k = 20 + 0 14 + 2k = 20 Add '-14' to each side of the equation. 14 + -14 + 2k = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 2k = 20 + -14 2k = 20 + -14 Combine like terms: 20 + -14 = 6 2k = 6 Divide each side by '2'. k = 3 Simplifying k = 3
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