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Simplifying 6z + 3k + 9z = 0 Reorder the terms: 3k + 6z + 9z = 0 Combine like terms: 6z + 9z = 15z 3k + 15z = 0 Solving 3k + 15z = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15z' to each side of the equation. 3k + 15z + -15z = 0 + -15z Combine like terms: 15z + -15z = 0 3k + 0 = 0 + -15z 3k = 0 + -15z Remove the zero: 3k = -15z Divide each side by '3'. k = -5z Simplifying k = -5z
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