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