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Simplifying 12z + 7 = 67 + 9z Reorder the terms: 7 + 12z = 67 + 9z Solving 7 + 12z = 67 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 7 + 12z + -9z = 67 + 9z + -9z Combine like terms: 12z + -9z = 3z 7 + 3z = 67 + 9z + -9z Combine like terms: 9z + -9z = 0 7 + 3z = 67 + 0 7 + 3z = 67 Add '-7' to each side of the equation. 7 + -7 + 3z = 67 + -7 Combine like terms: 7 + -7 = 0 0 + 3z = 67 + -7 3z = 67 + -7 Combine like terms: 67 + -7 = 60 3z = 60 Divide each side by '3'. z = 20 Simplifying z = 20
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