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Simplifying 0.25z + 30 = 0.5z Reorder the terms: 30 + 0.25z = 0.5z Solving 30 + 0.25z = 0.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.5z' to each side of the equation. 30 + 0.25z + -0.5z = 0.5z + -0.5z Combine like terms: 0.25z + -0.5z = -0.25z 30 + -0.25z = 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 30 + -0.25z = 0.0 Add '-30' to each side of the equation. 30 + -30 + -0.25z = 0.0 + -30 Combine like terms: 30 + -30 = 0 0 + -0.25z = 0.0 + -30 -0.25z = 0.0 + -30 Combine like terms: 0.0 + -30 = -30 -0.25z = -30 Divide each side by '-0.25'. z = 120 Simplifying z = 120
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