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Simplifying z + 12 + z = 12 + -1z Reorder the terms: 12 + z + z = 12 + -1z Combine like terms: z + z = 2z 12 + 2z = 12 + -1z Add '-12' to each side of the equation. 12 + -12 + 2z = 12 + -12 + -1z Combine like terms: 12 + -12 = 0 0 + 2z = 12 + -12 + -1z 2z = 12 + -12 + -1z Combine like terms: 12 + -12 = 0 2z = 0 + -1z 2z = -1z Solving 2z = -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. 2z + z = -1z + z Combine like terms: 2z + z = 3z 3z = -1z + z Combine like terms: -1z + z = 0 3z = 0 Divide each side by '3'. z = 0 Simplifying z = 0
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