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Simplifying 7[9 + k] = 0 [9 * 7 + k * 7] = 0 [63 + 7k] = 0 Solving 63 + 7k = 0 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 = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 7k = 0 + -63 7k = 0 + -63 Combine like terms: 0 + -63 = -63 7k = -63 Divide each side by '7'. k = -9 Simplifying k = -9
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