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Simplifying 7(k + 4) + -5 = 7 + 5k Reorder the terms: 7(4 + k) + -5 = 7 + 5k (4 * 7 + k * 7) + -5 = 7 + 5k (28 + 7k) + -5 = 7 + 5k Reorder the terms: 28 + -5 + 7k = 7 + 5k Combine like terms: 28 + -5 = 23 23 + 7k = 7 + 5k Solving 23 + 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. 23 + 7k + -5k = 7 + 5k + -5k Combine like terms: 7k + -5k = 2k 23 + 2k = 7 + 5k + -5k Combine like terms: 5k + -5k = 0 23 + 2k = 7 + 0 23 + 2k = 7 Add '-23' to each side of the equation. 23 + -23 + 2k = 7 + -23 Combine like terms: 23 + -23 = 0 0 + 2k = 7 + -23 2k = 7 + -23 Combine like terms: 7 + -23 = -16 2k = -16 Divide each side by '2'. k = -8 Simplifying k = -8
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