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Simplifying 2(3z + 2) = 0 Reorder the terms: 2(2 + 3z) = 0 (2 * 2 + 3z * 2) = 0 (4 + 6z) = 0 Solving 4 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6z = 0 + -4 6z = 0 + -4 Combine like terms: 0 + -4 = -4 6z = -4 Divide each side by '6'. z = -0.6666666667 Simplifying z = -0.6666666667
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