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Simplifying z = 1 + -2z + 1 + -1z Reorder the terms: z = 1 + 1 + -2z + -1z Combine like terms: 1 + 1 = 2 z = 2 + -2z + -1z Combine like terms: -2z + -1z = -3z z = 2 + -3z Solving z = 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. z + 3z = 2 + -3z + 3z Combine like terms: z + 3z = 4z 4z = 2 + -3z + 3z Combine like terms: -3z + 3z = 0 4z = 2 + 0 4z = 2 Divide each side by '4'. z = 0.5 Simplifying z = 0.5
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