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Simplifying (2 + -1)(4z + 2) = 0 Combine like terms: 2 + -1 = 1 (1)(4z + 2) = 0 Reorder the terms: 1(2 + 4z) = 0 (2 * 1 + 4z * 1) = 0 (2 + 4z) = 0 Solving 2 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4z = 0 + -2 4z = 0 + -2 Combine like terms: 0 + -2 = -2 4z = -2 Divide each side by '4'. z = -0.5 Simplifying z = -0.5
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