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Simplifying 5.2 + 3.2z = z + 2.5 Reorder the terms: 5.2 + 3.2z = 2.5 + z Solving 5.2 + 3.2z = 2.5 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 5.2 + 3.2z + -1z = 2.5 + z + -1z Combine like terms: 3.2z + -1z = 2.2z 5.2 + 2.2z = 2.5 + z + -1z Combine like terms: z + -1z = 0 5.2 + 2.2z = 2.5 + 0 5.2 + 2.2z = 2.5 Add '-5.2' to each side of the equation. 5.2 + -5.2 + 2.2z = 2.5 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + 2.2z = 2.5 + -5.2 2.2z = 2.5 + -5.2 Combine like terms: 2.5 + -5.2 = -2.7 2.2z = -2.7 Divide each side by '2.2'. z = -1.227272727 Simplifying z = -1.227272727
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