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Simplifying -5.7z + -44.2 = 3z + 43 Reorder the terms: -44.2 + -5.7z = 3z + 43 Reorder the terms: -44.2 + -5.7z = 43 + 3z Solving -44.2 + -5.7z = 43 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -44.2 + -5.7z + -3z = 43 + 3z + -3z Combine like terms: -5.7z + -3z = -8.7z -44.2 + -8.7z = 43 + 3z + -3z Combine like terms: 3z + -3z = 0 -44.2 + -8.7z = 43 + 0 -44.2 + -8.7z = 43 Add '44.2' to each side of the equation. -44.2 + 44.2 + -8.7z = 43 + 44.2 Combine like terms: -44.2 + 44.2 = 0.0 0.0 + -8.7z = 43 + 44.2 -8.7z = 43 + 44.2 Combine like terms: 43 + 44.2 = 87.2 -8.7z = 87.2 Divide each side by '-8.7'. z = -10.02298851 Simplifying z = -10.02298851
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