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Simplifying 31 = z + 32 Reorder the terms: 31 = 32 + z Solving 31 = 32 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 31 + -1z = 32 + z + -1z Combine like terms: z + -1z = 0 31 + -1z = 32 + 0 31 + -1z = 32 Add '-31' to each side of the equation. 31 + -31 + -1z = 32 + -31 Combine like terms: 31 + -31 = 0 0 + -1z = 32 + -31 -1z = 32 + -31 Combine like terms: 32 + -31 = 1 -1z = 1 Divide each side by '-1'. z = -1 Simplifying z = -1
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