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Simplifying 4z + 0.5 = 5z Reorder the terms: 0.5 + 4z = 5z Solving 0.5 + 4z = 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 0.5 + 4z + -5z = 5z + -5z Combine like terms: 4z + -5z = -1z 0.5 + -1z = 5z + -5z Combine like terms: 5z + -5z = 0 0.5 + -1z = 0 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1z = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1z = 0 + -0.5 -1z = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -1z = -0.5 Divide each side by '-1'. z = 0.5 Simplifying z = 0.5
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