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Simplifying 2.5z + 12 = 1.25z + 24 Reorder the terms: 12 + 2.5z = 1.25z + 24 Reorder the terms: 12 + 2.5z = 24 + 1.25z Solving 12 + 2.5z = 24 + 1.25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.25z' to each side of the equation. 12 + 2.5z + -1.25z = 24 + 1.25z + -1.25z Combine like terms: 2.5z + -1.25z = 1.25z 12 + 1.25z = 24 + 1.25z + -1.25z Combine like terms: 1.25z + -1.25z = 0.00 12 + 1.25z = 24 + 0.00 12 + 1.25z = 24 Add '-12' to each side of the equation. 12 + -12 + 1.25z = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 1.25z = 24 + -12 1.25z = 24 + -12 Combine like terms: 24 + -12 = 12 1.25z = 12 Divide each side by '1.25'. z = 9.6 Simplifying z = 9.6
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