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Simplifying 7(1 + k) = -112 (1 * 7 + k * 7) = -112 (7 + 7k) = -112 Solving 7 + 7k = -112 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7k = -112 + -7 Combine like terms: 7 + -7 = 0 0 + 7k = -112 + -7 7k = -112 + -7 Combine like terms: -112 + -7 = -119 7k = -119 Divide each side by '7'. k = -17 Simplifying k = -17
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