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Simplifying 12.2z + 19.4 = 2.7z + 93.9 Reorder the terms: 19.4 + 12.2z = 2.7z + 93.9 Reorder the terms: 19.4 + 12.2z = 93.9 + 2.7z Solving 19.4 + 12.2z = 93.9 + 2.7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.7z' to each side of the equation. 19.4 + 12.2z + -2.7z = 93.9 + 2.7z + -2.7z Combine like terms: 12.2z + -2.7z = 9.5z 19.4 + 9.5z = 93.9 + 2.7z + -2.7z Combine like terms: 2.7z + -2.7z = 0.0 19.4 + 9.5z = 93.9 + 0.0 19.4 + 9.5z = 93.9 Add '-19.4' to each side of the equation. 19.4 + -19.4 + 9.5z = 93.9 + -19.4 Combine like terms: 19.4 + -19.4 = 0.0 0.0 + 9.5z = 93.9 + -19.4 9.5z = 93.9 + -19.4 Combine like terms: 93.9 + -19.4 = 74.5 9.5z = 74.5 Divide each side by '9.5'. z = 7.842105263 Simplifying z = 7.842105263
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