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Simplifying -9z + 15z + 11 = 83 Reorder the terms: 11 + -9z + 15z = 83 Combine like terms: -9z + 15z = 6z 11 + 6z = 83 Solving 11 + 6z = 83 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6z = 83 + -11 Combine like terms: 11 + -11 = 0 0 + 6z = 83 + -11 6z = 83 + -11 Combine like terms: 83 + -11 = 72 6z = 72 Divide each side by '6'. z = 12 Simplifying z = 12
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