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Simplifying 0.5(4z + 0.25) = 2.4 + 1.2h Reorder the terms: 0.5(0.25 + 4z) = 2.4 + 1.2h (0.25 * 0.5 + 4z * 0.5) = 2.4 + 1.2h (0.125 + 2z) = 2.4 + 1.2h Solving 0.125 + 2z = 2.4 + 1.2h Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.125' to each side of the equation. 0.125 + -0.125 + 2z = 2.4 + -0.125 + 1.2h Combine like terms: 0.125 + -0.125 = 0.000 0.000 + 2z = 2.4 + -0.125 + 1.2h 2z = 2.4 + -0.125 + 1.2h Combine like terms: 2.4 + -0.125 = 2.275 2z = 2.275 + 1.2h Divide each side by '2'. z = 1.1375 + 0.6h Simplifying z = 1.1375 + 0.6h
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