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Simplifying 9 + 2z = 5z + 12 Reorder the terms: 9 + 2z = 12 + 5z Solving 9 + 2z = 12 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 9 + 2z + -5z = 12 + 5z + -5z Combine like terms: 2z + -5z = -3z 9 + -3z = 12 + 5z + -5z Combine like terms: 5z + -5z = 0 9 + -3z = 12 + 0 9 + -3z = 12 Add '-9' to each side of the equation. 9 + -9 + -3z = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -3z = 12 + -9 -3z = 12 + -9 Combine like terms: 12 + -9 = 3 -3z = 3 Divide each side by '-3'. z = -1 Simplifying z = -1
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