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Simplifying -4(3z + 2) = 0 Reorder the terms: -4(2 + 3z) = 0 (2 * -4 + 3z * -4) = 0 (-8 + -12z) = 0 Solving -8 + -12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -12z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -12z = 0 + 8 -12z = 0 + 8 Combine like terms: 0 + 8 = 8 -12z = 8 Divide each side by '-12'. z = -0.6666666667 Simplifying z = -0.6666666667
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