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Simplifying 1z + 2.5 = 5.2 + -3.2z Reorder the terms: 2.5 + 1z = 5.2 + -3.2z Solving 2.5 + 1z = 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 + 1z + 3.2z = 5.2 + -3.2z + 3.2z Combine like terms: 1z + 3.2z = 4.2z 2.5 + 4.2z = 5.2 + -3.2z + 3.2z Combine like terms: -3.2z + 3.2z = 0.0 2.5 + 4.2z = 5.2 + 0.0 2.5 + 4.2z = 5.2 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 4.2z = 5.2 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 4.2z = 5.2 + -2.5 4.2z = 5.2 + -2.5 Combine like terms: 5.2 + -2.5 = 2.7 4.2z = 2.7 Divide each side by '4.2'. z = 0.6428571429 Simplifying z = 0.6428571429
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