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Simplifying 2.5z + 5.2 = 3.8z Reorder the terms: 5.2 + 2.5z = 3.8z Solving 5.2 + 2.5z = 3.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.8z' to each side of the equation. 5.2 + 2.5z + -3.8z = 3.8z + -3.8z Combine like terms: 2.5z + -3.8z = -1.3z 5.2 + -1.3z = 3.8z + -3.8z Combine like terms: 3.8z + -3.8z = 0.0 5.2 + -1.3z = 0.0 Add '-5.2' to each side of the equation. 5.2 + -5.2 + -1.3z = 0.0 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -1.3z = 0.0 + -5.2 -1.3z = 0.0 + -5.2 Combine like terms: 0.0 + -5.2 = -5.2 -1.3z = -5.2 Divide each side by '-1.3'. z = 4 Simplifying z = 4
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