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Simplifying 2z + 32 = -2z Reorder the terms: 32 + 2z = -2z Solving 32 + 2z = -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 32 + 2z + 2z = -2z + 2z Combine like terms: 2z + 2z = 4z 32 + 4z = -2z + 2z Combine like terms: -2z + 2z = 0 32 + 4z = 0 Add '-32' to each side of the equation. 32 + -32 + 4z = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 4z = 0 + -32 4z = 0 + -32 Combine like terms: 0 + -32 = -32 4z = -32 Divide each side by '4'. z = -8 Simplifying z = -8
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