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Simplifying z + 8 = 12 + -1z Reorder the terms: 8 + z = 12 + -1z Solving 8 + z = 12 + -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. 8 + z + z = 12 + -1z + z Combine like terms: z + z = 2z 8 + 2z = 12 + -1z + z Combine like terms: -1z + z = 0 8 + 2z = 12 + 0 8 + 2z = 12 Add '-8' to each side of the equation. 8 + -8 + 2z = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = 12 + -8 2z = 12 + -8 Combine like terms: 12 + -8 = 4 2z = 4 Divide each side by '2'. z = 2 Simplifying z = 2
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