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Simplifying z + 28 = 32 + -1z Reorder the terms: 28 + z = 32 + -1z Solving 28 + z = 32 + -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. 28 + z + z = 32 + -1z + z Combine like terms: z + z = 2z 28 + 2z = 32 + -1z + z Combine like terms: -1z + z = 0 28 + 2z = 32 + 0 28 + 2z = 32 Add '-28' to each side of the equation. 28 + -28 + 2z = 32 + -28 Combine like terms: 28 + -28 = 0 0 + 2z = 32 + -28 2z = 32 + -28 Combine like terms: 32 + -28 = 4 2z = 4 Divide each side by '2'. z = 2 Simplifying z = 2
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