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Simplifying z + 12 = 14 + -1z Reorder the terms: 12 + z = 14 + -1z Solving 12 + z = 14 + -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. 12 + z + z = 14 + -1z + z Combine like terms: z + z = 2z 12 + 2z = 14 + -1z + z Combine like terms: -1z + z = 0 12 + 2z = 14 + 0 12 + 2z = 14 Add '-12' to each side of the equation. 12 + -12 + 2z = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = 14 + -12 2z = 14 + -12 Combine like terms: 14 + -12 = 2 2z = 2 Divide each side by '2'. z = 1 Simplifying z = 1
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