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