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Simplifying 7(k + 4) = 4 + -5k Reorder the terms: 7(4 + k) = 4 + -5k (4 * 7 + k * 7) = 4 + -5k (28 + 7k) = 4 + -5k Solving 28 + 7k = 4 + -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. 28 + 7k + 5k = 4 + -5k + 5k Combine like terms: 7k + 5k = 12k 28 + 12k = 4 + -5k + 5k Combine like terms: -5k + 5k = 0 28 + 12k = 4 + 0 28 + 12k = 4 Add '-28' to each side of the equation. 28 + -28 + 12k = 4 + -28 Combine like terms: 28 + -28 = 0 0 + 12k = 4 + -28 12k = 4 + -28 Combine like terms: 4 + -28 = -24 12k = -24 Divide each side by '12'. k = -2 Simplifying k = -2
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