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Simplifying 9z + 4 + -2z = 31 + -2z Reorder the terms: 4 + 9z + -2z = 31 + -2z Combine like terms: 9z + -2z = 7z 4 + 7z = 31 + -2z Solving 4 + 7z = 31 + -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. 4 + 7z + 2z = 31 + -2z + 2z Combine like terms: 7z + 2z = 9z 4 + 9z = 31 + -2z + 2z Combine like terms: -2z + 2z = 0 4 + 9z = 31 + 0 4 + 9z = 31 Add '-4' to each side of the equation. 4 + -4 + 9z = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 9z = 31 + -4 9z = 31 + -4 Combine like terms: 31 + -4 = 27 9z = 27 Divide each side by '9'. z = 3 Simplifying z = 3
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