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Simplifying 7(9 + k) = -84 (9 * 7 + k * 7) = -84 (63 + 7k) = -84 Solving 63 + 7k = -84 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 = -84 + -63 Combine like terms: 63 + -63 = 0 0 + 7k = -84 + -63 7k = -84 + -63 Combine like terms: -84 + -63 = -147 7k = -147 Divide each side by '7'. k = -21 Simplifying k = -21
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