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Simplifying 8.2 + -3z = -8z Solving 8.2 + -3z = -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 8.2 + -3z + 8z = -8z + 8z Combine like terms: -3z + 8z = 5z 8.2 + 5z = -8z + 8z Combine like terms: -8z + 8z = 0 8.2 + 5z = 0 Add '-8.2' to each side of the equation. 8.2 + -8.2 + 5z = 0 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + 5z = 0 + -8.2 5z = 0 + -8.2 Combine like terms: 0 + -8.2 = -8.2 5z = -8.2 Divide each side by '5'. z = -1.64 Simplifying z = -1.64
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