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Simplifying 6.3z + -5.3z + -8.2 = 7.3 + 4.6 Reorder the terms: -8.2 + 6.3z + -5.3z = 7.3 + 4.6 Combine like terms: 6.3z + -5.3z = 1z -8.2 + 1z = 7.3 + 4.6 Combine like terms: 7.3 + 4.6 = 11.9 -8.2 + 1z = 11.9 Solving -8.2 + 1z = 11.9 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8.2' to each side of the equation. -8.2 + 8.2 + 1z = 11.9 + 8.2 Combine like terms: -8.2 + 8.2 = 0.0 0.0 + 1z = 11.9 + 8.2 1z = 11.9 + 8.2 Combine like terms: 11.9 + 8.2 = 20.1 1z = 20.1 Divide each side by '1'. z = 20.1 Simplifying z = 20.1
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