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Simplifying 7(4 + k) = 42 (4 * 7 + k * 7) = 42 (28 + 7k) = 42 Solving 28 + 7k = 42 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 7k = 42 + -28 Combine like terms: 28 + -28 = 0 0 + 7k = 42 + -28 7k = 42 + -28 Combine like terms: 42 + -28 = 14 7k = 14 Divide each side by '7'. k = 2 Simplifying k = 2
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