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Simplifying 5z + 2 + -82 = -32 + 2 Reorder the terms: 2 + -82 + 5z = -32 + 2 Combine like terms: 2 + -82 = -80 -80 + 5z = -32 + 2 Combine like terms: -32 + 2 = -30 -80 + 5z = -30 Solving -80 + 5z = -30 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + 5z = -30 + 80 Combine like terms: -80 + 80 = 0 0 + 5z = -30 + 80 5z = -30 + 80 Combine like terms: -30 + 80 = 50 5z = 50 Divide each side by '5'. z = 10 Simplifying z = 10
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