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Simplifying 3z = -1 + z + w Reorder the terms: 3z = -1 + w + z Solving 3z = -1 + w + z 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 = -1 + w + z + -1z Combine like terms: 3z + -1z = 2z 2z = -1 + w + z + -1z Combine like terms: z + -1z = 0 2z = -1 + w + 0 2z = -1 + w Divide each side by '2'. z = -0.5 + 0.5w Simplifying z = -0.5 + 0.5w
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