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