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Simplifying 7z + 6.1 + 3.7z + 2.7z + 3 = 0 Reorder the terms: 6.1 + 3 + 7z + 3.7z + 2.7z = 0 Combine like terms: 6.1 + 3 = 9.1 9.1 + 7z + 3.7z + 2.7z = 0 Combine like terms: 7z + 3.7z = 10.7z 9.1 + 10.7z + 2.7z = 0 Combine like terms: 10.7z + 2.7z = 13.4z 9.1 + 13.4z = 0 Solving 9.1 + 13.4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9.1' to each side of the equation. 9.1 + -9.1 + 13.4z = 0 + -9.1 Combine like terms: 9.1 + -9.1 = 0.0 0.0 + 13.4z = 0 + -9.1 13.4z = 0 + -9.1 Combine like terms: 0 + -9.1 = -9.1 13.4z = -9.1 Divide each side by '13.4'. z = -0.6791044776 Simplifying z = -0.6791044776
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