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Simplifying (9 + k) * 6 = 0 Reorder the terms for easier multiplication: 6(9 + k) = 0 (9 * 6 + k * 6) = 0 (54 + 6k) = 0 Solving 54 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 6k = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 6k = 0 + -54 6k = 0 + -54 Combine like terms: 0 + -54 = -54 6k = -54 Divide each side by '6'. k = -9 Simplifying k = -9
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