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Simplifying 10z + -1z = 12 + 3z + -2 + -8 Combine like terms: 10z + -1z = 9z 9z = 12 + 3z + -2 + -8 Reorder the terms: 9z = 12 + -2 + -8 + 3z Combine like terms: 12 + -2 = 10 9z = 10 + -8 + 3z Combine like terms: 10 + -8 = 2 9z = 2 + 3z Solving 9z = 2 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 9z + -3z = 2 + 3z + -3z Combine like terms: 9z + -3z = 6z 6z = 2 + 3z + -3z Combine like terms: 3z + -3z = 0 6z = 2 + 0 6z = 2 Divide each side by '6'. z = 0.3333333333 Simplifying z = 0.3333333333
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