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Simplifying -12z + 9k + -8z = 0 Reorder the terms: 9k + -12z + -8z = 0 Combine like terms: -12z + -8z = -20z 9k + -20z = 0 Solving 9k + -20z = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20z' to each side of the equation. 9k + -20z + 20z = 0 + 20z Combine like terms: -20z + 20z = 0 9k + 0 = 0 + 20z 9k = 0 + 20z Remove the zero: 9k = 20z Divide each side by '9'. k = 2.222222222z Simplifying k = 2.222222222z
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