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Simplifying 32 = 8 + -2z Solving 32 = 8 + -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 = 8 + -2z + 2z Combine like terms: -2z + 2z = 0 32 + 2z = 8 + 0 32 + 2z = 8 Add '-32' to each side of the equation. 32 + -32 + 2z = 8 + -32 Combine like terms: 32 + -32 = 0 0 + 2z = 8 + -32 2z = 8 + -32 Combine like terms: 8 + -32 = -24 2z = -24 Divide each side by '2'. z = -12 Simplifying z = -12
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