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Simplifying 4z + 0.375 = 5z + 0.125 Reorder the terms: 0.375 + 4z = 5z + 0.125 Reorder the terms: 0.375 + 4z = 0.125 + 5z Solving 0.375 + 4z = 0.125 + 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. 0.375 + 4z + -5z = 0.125 + 5z + -5z Combine like terms: 4z + -5z = -1z 0.375 + -1z = 0.125 + 5z + -5z Combine like terms: 5z + -5z = 0 0.375 + -1z = 0.125 + 0 0.375 + -1z = 0.125 Add '-0.375' to each side of the equation. 0.375 + -0.375 + -1z = 0.125 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + -1z = 0.125 + -0.375 -1z = 0.125 + -0.375 Combine like terms: 0.125 + -0.375 = -0.25 -1z = -0.25 Divide each side by '-1'. z = 0.25 Simplifying z = 0.25
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