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Simplifying 0.25z + 0.625 = -0.75z + 0.25 Reorder the terms: 0.625 + 0.25z = -0.75z + 0.25 Reorder the terms: 0.625 + 0.25z = 0.25 + -0.75z Solving 0.625 + 0.25z = 0.25 + -0.75z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.75z' to each side of the equation. 0.625 + 0.25z + 0.75z = 0.25 + -0.75z + 0.75z Combine like terms: 0.25z + 0.75z = 1z 0.625 + 1z = 0.25 + -0.75z + 0.75z Combine like terms: -0.75z + 0.75z = 0.00 0.625 + 1z = 0.25 + 0.00 0.625 + 1z = 0.25 Add '-0.625' to each side of the equation. 0.625 + -0.625 + 1z = 0.25 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 1z = 0.25 + -0.625 1z = 0.25 + -0.625 Combine like terms: 0.25 + -0.625 = -0.375 1z = -0.375 Divide each side by '1'. z = -0.375 Simplifying z = -0.375
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