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Simplifying 3z + 9 + 5z + -4 = 0 Reorder the terms: 9 + -4 + 3z + 5z = 0 Combine like terms: 9 + -4 = 5 5 + 3z + 5z = 0 Combine like terms: 3z + 5z = 8z 5 + 8z = 0 Solving 5 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8z = 0 + -5 8z = 0 + -5 Combine like terms: 0 + -5 = -5 8z = -5 Divide each side by '8'. z = -0.625 Simplifying z = -0.625
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