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Simplifying z = (3z + 1) Reorder the terms: z = (1 + 3z) Remove parenthesis around (1 + 3z) z = 1 + 3z Solving z = 1 + 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 = 1 + 3z + -3z Combine like terms: z + -3z = -2z -2z = 1 + 3z + -3z Combine like terms: 3z + -3z = 0 -2z = 1 + 0 -2z = 1 Divide each side by '-2'. z = -0.5 Simplifying z = -0.5
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