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Simplifying 4.4z + 8.1 = 5.7z + 5.5 Reorder the terms: 8.1 + 4.4z = 5.7z + 5.5 Reorder the terms: 8.1 + 4.4z = 5.5 + 5.7z Solving 8.1 + 4.4z = 5.5 + 5.7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.7z' to each side of the equation. 8.1 + 4.4z + -5.7z = 5.5 + 5.7z + -5.7z Combine like terms: 4.4z + -5.7z = -1.3z 8.1 + -1.3z = 5.5 + 5.7z + -5.7z Combine like terms: 5.7z + -5.7z = 0.0 8.1 + -1.3z = 5.5 + 0.0 8.1 + -1.3z = 5.5 Add '-8.1' to each side of the equation. 8.1 + -8.1 + -1.3z = 5.5 + -8.1 Combine like terms: 8.1 + -8.1 = 0.0 0.0 + -1.3z = 5.5 + -8.1 -1.3z = 5.5 + -8.1 Combine like terms: 5.5 + -8.1 = -2.6 -1.3z = -2.6 Divide each side by '-1.3'. z = 2 Simplifying z = 2
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