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Simplifying 2z + 12 = 3 + -1z Reorder the terms: 12 + 2z = 3 + -1z Solving 12 + 2z = 3 + -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 + 2z + z = 3 + -1z + z Combine like terms: 2z + z = 3z 12 + 3z = 3 + -1z + z Combine like terms: -1z + z = 0 12 + 3z = 3 + 0 12 + 3z = 3 Add '-12' to each side of the equation. 12 + -12 + 3z = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = 3 + -12 3z = 3 + -12 Combine like terms: 3 + -12 = -9 3z = -9 Divide each side by '3'. z = -3 Simplifying z = -3
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