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Simplifying (4z + -1) * 2 = 0 Reorder the terms: (-1 + 4z) * 2 = 0 Reorder the terms for easier multiplication: 2(-1 + 4z) = 0 (-1 * 2 + 4z * 2) = 0 (-2 + 8z) = 0 Solving -2 + 8z = 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 + 8z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 8z = 0 + 2 8z = 0 + 2 Combine like terms: 0 + 2 = 2 8z = 2 Divide each side by '8'. z = 0.25 Simplifying z = 0.25
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