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Simplifying (9 + k) * 5 = 0 Reorder the terms for easier multiplication: 5(9 + k) = 0 (9 * 5 + k * 5) = 0 (45 + 5k) = 0 Solving 45 + 5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 5k = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 5k = 0 + -45 5k = 0 + -45 Combine like terms: 0 + -45 = -45 5k = -45 Divide each side by '5'. k = -9 Simplifying k = -9
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