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Simplifying 7(k + 11) = 42 Reorder the terms: 7(11 + k) = 42 (11 * 7 + k * 7) = 42 (77 + 7k) = 42 Solving 77 + 7k = 42 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + 7k = 42 + -77 Combine like terms: 77 + -77 = 0 0 + 7k = 42 + -77 7k = 42 + -77 Combine like terms: 42 + -77 = -35 7k = -35 Divide each side by '7'. k = -5 Simplifying k = -5
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