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Simplifying 2z + 9z = 4z + 45 + 2z Combine like terms: 2z + 9z = 11z 11z = 4z + 45 + 2z Reorder the terms: 11z = 45 + 4z + 2z Combine like terms: 4z + 2z = 6z 11z = 45 + 6z Solving 11z = 45 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 11z + -6z = 45 + 6z + -6z Combine like terms: 11z + -6z = 5z 5z = 45 + 6z + -6z Combine like terms: 6z + -6z = 0 5z = 45 + 0 5z = 45 Divide each side by '5'. z = 9 Simplifying z = 9
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