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Simplifying (4 + -2)(2z + -5) = 0 Combine like terms: 4 + -2 = 2 (2)(2z + -5) = 0 Reorder the terms: 2(-5 + 2z) = 0 (-5 * 2 + 2z * 2) = 0 (-10 + 4z) = 0 Solving -10 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 4z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 4z = 0 + 10 4z = 0 + 10 Combine like terms: 0 + 10 = 10 4z = 10 Divide each side by '4'. z = 2.5 Simplifying z = 2.5
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