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Simplifying z + 32 = 36 + -1z Reorder the terms: 32 + z = 36 + -1z Solving 32 + z = 36 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 32 + z + z = 36 + -1z + z Combine like terms: z + z = 2z 32 + 2z = 36 + -1z + z Combine like terms: -1z + z = 0 32 + 2z = 36 + 0 32 + 2z = 36 Add '-32' to each side of the equation. 32 + -32 + 2z = 36 + -32 Combine like terms: 32 + -32 = 0 0 + 2z = 36 + -32 2z = 36 + -32 Combine like terms: 36 + -32 = 4 2z = 4 Divide each side by '2'. z = 2 Simplifying z = 2
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