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Simplifying 0.25z + 7.50 = 0.50z + 6.25 Reorder the terms: 7.50 + 0.25z = 0.50z + 6.25 Reorder the terms: 7.50 + 0.25z = 6.25 + 0.50z Solving 7.50 + 0.25z = 6.25 + 0.50z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.50z' to each side of the equation. 7.50 + 0.25z + -0.50z = 6.25 + 0.50z + -0.50z Combine like terms: 0.25z + -0.50z = -0.25z 7.50 + -0.25z = 6.25 + 0.50z + -0.50z Combine like terms: 0.50z + -0.50z = 0.00 7.50 + -0.25z = 6.25 + 0.00 7.50 + -0.25z = 6.25 Add '-7.50' to each side of the equation. 7.50 + -7.50 + -0.25z = 6.25 + -7.50 Combine like terms: 7.50 + -7.50 = 0.00 0.00 + -0.25z = 6.25 + -7.50 -0.25z = 6.25 + -7.50 Combine like terms: 6.25 + -7.50 = -1.25 -0.25z = -1.25 Divide each side by '-0.25'. z = 5 Simplifying z = 5
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