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Simplifying 10z + 5z + 3z + -9z + 2 = 11 Reorder the terms: 2 + 10z + 5z + 3z + -9z = 11 Combine like terms: 10z + 5z = 15z 2 + 15z + 3z + -9z = 11 Combine like terms: 15z + 3z = 18z 2 + 18z + -9z = 11 Combine like terms: 18z + -9z = 9z 2 + 9z = 11 Solving 2 + 9z = 11 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9z = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 9z = 11 + -2 9z = 11 + -2 Combine like terms: 11 + -2 = 9 9z = 9 Divide each side by '9'. z = 1 Simplifying z = 1
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