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Simplifying 6.5z + -5.5z + -8.2 = 4.1 Reorder the terms: -8.2 + 6.5z + -5.5z = 4.1 Combine like terms: 6.5z + -5.5z = 1z -8.2 + 1z = 4.1 Solving -8.2 + 1z = 4.1 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 = 4.1 + 8.2 Combine like terms: -8.2 + 8.2 = 0.0 0.0 + 1z = 4.1 + 8.2 1z = 4.1 + 8.2 Combine like terms: 4.1 + 8.2 = 12.3 1z = 12.3 Divide each side by '1'. z = 12.3 Simplifying z = 12.3
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