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Simplifying 3z + 4 + 5z + -9 = 0 Reorder the terms: 4 + -9 + 3z + 5z = 0 Combine like terms: 4 + -9 = -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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