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Simplifying 4 + 3z + 7z + 8 + 4z = 0 Reorder the terms: 4 + 8 + 3z + 7z + 4z = 0 Combine like terms: 4 + 8 = 12 12 + 3z + 7z + 4z = 0 Combine like terms: 3z + 7z = 10z 12 + 10z + 4z = 0 Combine like terms: 10z + 4z = 14z 12 + 14z = 0 Solving 12 + 14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 14z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 14z = 0 + -12 14z = 0 + -12 Combine like terms: 0 + -12 = -12 14z = -12 Divide each side by '14'. z = -0.8571428571 Simplifying z = -0.8571428571
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