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Simplifying 6(-5z + 12) = 0 Reorder the terms: 6(12 + -5z) = 0 (12 * 6 + -5z * 6) = 0 (72 + -30z) = 0 Solving 72 + -30z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -30z = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -30z = 0 + -72 -30z = 0 + -72 Combine like terms: 0 + -72 = -72 -30z = -72 Divide each side by '-30'. z = 2.4 Simplifying z = 2.4
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