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Simplifying 7(6 + k) = 49 (6 * 7 + k * 7) = 49 (42 + 7k) = 49 Solving 42 + 7k = 49 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 7k = 49 + -42 Combine like terms: 42 + -42 = 0 0 + 7k = 49 + -42 7k = 49 + -42 Combine like terms: 49 + -42 = 7 7k = 7 Divide each side by '7'. k = 1 Simplifying k = 1
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