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Simplifying 6z + -3z = 6z + 8 + 4z Combine like terms: 6z + -3z = 3z 3z = 6z + 8 + 4z Reorder the terms: 3z = 8 + 6z + 4z Combine like terms: 6z + 4z = 10z 3z = 8 + 10z Solving 3z = 8 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. 3z + -10z = 8 + 10z + -10z Combine like terms: 3z + -10z = -7z -7z = 8 + 10z + -10z Combine like terms: 10z + -10z = 0 -7z = 8 + 0 -7z = 8 Divide each side by '-7'. z = -1.142857143 Simplifying z = -1.142857143
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