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Simplifying 7(k + 4) + -5 = 2 + 5(7 + k) Reorder the terms: 7(4 + k) + -5 = 2 + 5(7 + k) (4 * 7 + k * 7) + -5 = 2 + 5(7 + k) (28 + 7k) + -5 = 2 + 5(7 + k) Reorder the terms: 28 + -5 + 7k = 2 + 5(7 + k) Combine like terms: 28 + -5 = 23 23 + 7k = 2 + 5(7 + k) 23 + 7k = 2 + (7 * 5 + k * 5) 23 + 7k = 2 + (35 + 5k) Combine like terms: 2 + 35 = 37 23 + 7k = 37 + 5k Solving 23 + 7k = 37 + 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. 23 + 7k + -5k = 37 + 5k + -5k Combine like terms: 7k + -5k = 2k 23 + 2k = 37 + 5k + -5k Combine like terms: 5k + -5k = 0 23 + 2k = 37 + 0 23 + 2k = 37 Add '-23' to each side of the equation. 23 + -23 + 2k = 37 + -23 Combine like terms: 23 + -23 = 0 0 + 2k = 37 + -23 2k = 37 + -23 Combine like terms: 37 + -23 = 14 2k = 14 Divide each side by '2'. k = 7 Simplifying k = 7
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