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Simplifying 0.25z + -0.75 = -0.25z + 3.25 Reorder the terms: -0.75 + 0.25z = -0.25z + 3.25 Reorder the terms: -0.75 + 0.25z = 3.25 + -0.25z Solving -0.75 + 0.25z = 3.25 + -0.25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.25z' to each side of the equation. -0.75 + 0.25z + 0.25z = 3.25 + -0.25z + 0.25z Combine like terms: 0.25z + 0.25z = 0.5z -0.75 + 0.5z = 3.25 + -0.25z + 0.25z Combine like terms: -0.25z + 0.25z = 0.00 -0.75 + 0.5z = 3.25 + 0.00 -0.75 + 0.5z = 3.25 Add '0.75' to each side of the equation. -0.75 + 0.75 + 0.5z = 3.25 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 0.5z = 3.25 + 0.75 0.5z = 3.25 + 0.75 Combine like terms: 3.25 + 0.75 = 4 0.5z = 4 Divide each side by '0.5'. z = 8 Simplifying z = 8
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