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Simplifying 7.5(4z + -2) = 0 Reorder the terms: 7.5(-2 + 4z) = 0 (-2 * 7.5 + 4z * 7.5) = 0 (-15 + 30z) = 0 Solving -15 + 30z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 30z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 30z = 0 + 15 30z = 0 + 15 Combine like terms: 0 + 15 = 15 30z = 15 Divide each side by '30'. z = 0.5 Simplifying z = 0.5
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