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Simplifying 9z + 3 + -7z = 57 + -7z Reorder the terms: 3 + 9z + -7z = 57 + -7z Combine like terms: 9z + -7z = 2z 3 + 2z = 57 + -7z Solving 3 + 2z = 57 + -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. 3 + 2z + 7z = 57 + -7z + 7z Combine like terms: 2z + 7z = 9z 3 + 9z = 57 + -7z + 7z Combine like terms: -7z + 7z = 0 3 + 9z = 57 + 0 3 + 9z = 57 Add '-3' to each side of the equation. 3 + -3 + 9z = 57 + -3 Combine like terms: 3 + -3 = 0 0 + 9z = 57 + -3 9z = 57 + -3 Combine like terms: 57 + -3 = 54 9z = 54 Divide each side by '9'. z = 6 Simplifying z = 6
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