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