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Simplifying 5z + 4 + 9z + 7 = 0 Reorder the terms: 4 + 7 + 5z + 9z = 0 Combine like terms: 4 + 7 = 11 11 + 5z + 9z = 0 Combine like terms: 5z + 9z = 14z 11 + 14z = 0 Solving 11 + 14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 14z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 14z = 0 + -11 14z = 0 + -11 Combine like terms: 0 + -11 = -11 14z = -11 Divide each side by '14'. z = -0.7857142857 Simplifying z = -0.7857142857
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