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Simplifying 7(9 + k) = -50 (9 * 7 + k * 7) = -50 (63 + 7k) = -50 Solving 63 + 7k = -50 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 7k = -50 + -63 Combine like terms: 63 + -63 = 0 0 + 7k = -50 + -63 7k = -50 + -63 Combine like terms: -50 + -63 = -113 7k = -113 Divide each side by '7'. k = -16.14285714 Simplifying k = -16.14285714
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