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Simplifying 9z + 8 + -7z = 71 + -7z Reorder the terms: 8 + 9z + -7z = 71 + -7z Combine like terms: 9z + -7z = 2z 8 + 2z = 71 + -7z Solving 8 + 2z = 71 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 8 + 2z + 7z = 71 + -7z + 7z Combine like terms: 2z + 7z = 9z 8 + 9z = 71 + -7z + 7z Combine like terms: -7z + 7z = 0 8 + 9z = 71 + 0 8 + 9z = 71 Add '-8' to each side of the equation. 8 + -8 + 9z = 71 + -8 Combine like terms: 8 + -8 = 0 0 + 9z = 71 + -8 9z = 71 + -8 Combine like terms: 71 + -8 = 63 9z = 63 Divide each side by '9'. z = 7 Simplifying z = 7
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