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Simplifying 0.75z + 2.25 = 0.125z + 0.375 Reorder the terms: 2.25 + 0.75z = 0.125z + 0.375 Reorder the terms: 2.25 + 0.75z = 0.375 + 0.125z Solving 2.25 + 0.75z = 0.375 + 0.125z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.125z' to each side of the equation. 2.25 + 0.75z + -0.125z = 0.375 + 0.125z + -0.125z Combine like terms: 0.75z + -0.125z = 0.625z 2.25 + 0.625z = 0.375 + 0.125z + -0.125z Combine like terms: 0.125z + -0.125z = 0.000 2.25 + 0.625z = 0.375 + 0.000 2.25 + 0.625z = 0.375 Add '-2.25' to each side of the equation. 2.25 + -2.25 + 0.625z = 0.375 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + 0.625z = 0.375 + -2.25 0.625z = 0.375 + -2.25 Combine like terms: 0.375 + -2.25 = -1.875 0.625z = -1.875 Divide each side by '0.625'. z = -3 Simplifying z = -3
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