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Simplifying (2z + -1)(2 + 5) = 0 Reorder the terms: (-1 + 2z)(2 + 5) = 0 Combine like terms: 2 + 5 = 7 (-1 + 2z)(7) = 0 Reorder the terms for easier multiplication: 7(-1 + 2z) = 0 (-1 * 7 + 2z * 7) = 0 (-7 + 14z) = 0 Solving -7 + 14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 14z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 14z = 0 + 7 14z = 0 + 7 Combine like terms: 0 + 7 = 7 14z = 7 Divide each side by '14'. z = 0.5 Simplifying z = 0.5
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