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Simplifying 6z = 4(z + 3) Reorder the terms: 6z = 4(3 + z) 6z = (3 * 4 + z * 4) 6z = (12 + 4z) Solving 6z = 12 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 6z + -4z = 12 + 4z + -4z Combine like terms: 6z + -4z = 2z 2z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 2z = 12 + 0 2z = 12 Divide each side by '2'. z = 6 Simplifying z = 6
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