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Simplifying 3.4z + 6.3 = 1.7z + 47.1 Reorder the terms: 6.3 + 3.4z = 1.7z + 47.1 Reorder the terms: 6.3 + 3.4z = 47.1 + 1.7z Solving 6.3 + 3.4z = 47.1 + 1.7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.7z' to each side of the equation. 6.3 + 3.4z + -1.7z = 47.1 + 1.7z + -1.7z Combine like terms: 3.4z + -1.7z = 1.7z 6.3 + 1.7z = 47.1 + 1.7z + -1.7z Combine like terms: 1.7z + -1.7z = 0.0 6.3 + 1.7z = 47.1 + 0.0 6.3 + 1.7z = 47.1 Add '-6.3' to each side of the equation. 6.3 + -6.3 + 1.7z = 47.1 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + 1.7z = 47.1 + -6.3 1.7z = 47.1 + -6.3 Combine like terms: 47.1 + -6.3 = 40.8 1.7z = 40.8 Divide each side by '1.7'. z = 24 Simplifying z = 24
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