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