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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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