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Simplifying 7(k + 2) = -42 Reorder the terms: 7(2 + k) = -42 (2 * 7 + k * 7) = -42 (14 + 7k) = -42 Solving 14 + 7k = -42 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7k = -42 + -14 Combine like terms: 14 + -14 = 0 0 + 7k = -42 + -14 7k = -42 + -14 Combine like terms: -42 + -14 = -56 7k = -56 Divide each side by '7'. k = -8 Simplifying k = -8
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