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Simplifying 8.2z + -7.2z + 5.9 = -6.4 + 3.3 Reorder the terms: 5.9 + 8.2z + -7.2z = -6.4 + 3.3 Combine like terms: 8.2z + -7.2z = 1z 5.9 + 1z = -6.4 + 3.3 Combine like terms: -6.4 + 3.3 = -3.1 5.9 + 1z = -3.1 Solving 5.9 + 1z = -3.1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.9' to each side of the equation. 5.9 + -5.9 + 1z = -3.1 + -5.9 Combine like terms: 5.9 + -5.9 = 0.0 0.0 + 1z = -3.1 + -5.9 1z = -3.1 + -5.9 Combine like terms: -3.1 + -5.9 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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