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Simplifying 0.5(2 + 4z) = 85 (2 * 0.5 + 4z * 0.5) = 85 (1 + 2z) = 85 Solving 1 + 2z = 85 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2z = 85 + -1 Combine like terms: 1 + -1 = 0 0 + 2z = 85 + -1 2z = 85 + -1 Combine like terms: 85 + -1 = 84 2z = 84 Divide each side by '2'. z = 42 Simplifying z = 42
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