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Simplifying 8z + 9z + 7z + -8 = 0 Reorder the terms: -8 + 8z + 9z + 7z = 0 Combine like terms: 8z + 9z = 17z -8 + 17z + 7z = 0 Combine like terms: 17z + 7z = 24z -8 + 24z = 0 Solving -8 + 24z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 24z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 24z = 0 + 8 24z = 0 + 8 Combine like terms: 0 + 8 = 8 24z = 8 Divide each side by '24'. z = 0.3333333333 Simplifying z = 0.3333333333
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