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Simplifying -3z + 9z + 4 + 6z = 0 Reorder the terms: 4 + -3z + 9z + 6z = 0 Combine like terms: -3z + 9z = 6z 4 + 6z + 6z = 0 Combine like terms: 6z + 6z = 12z 4 + 12z = 0 Solving 4 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 12z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 12z = 0 + -4 12z = 0 + -4 Combine like terms: 0 + -4 = -4 12z = -4 Divide each side by '12'. z = -0.3333333333 Simplifying z = -0.3333333333
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