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Simplifying 9z + 6 + -7z = 51 + -7z Reorder the terms: 6 + 9z + -7z = 51 + -7z Combine like terms: 9z + -7z = 2z 6 + 2z = 51 + -7z Solving 6 + 2z = 51 + -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. 6 + 2z + 7z = 51 + -7z + 7z Combine like terms: 2z + 7z = 9z 6 + 9z = 51 + -7z + 7z Combine like terms: -7z + 7z = 0 6 + 9z = 51 + 0 6 + 9z = 51 Add '-6' to each side of the equation. 6 + -6 + 9z = 51 + -6 Combine like terms: 6 + -6 = 0 0 + 9z = 51 + -6 9z = 51 + -6 Combine like terms: 51 + -6 = 45 9z = 45 Divide each side by '9'. z = 5 Simplifying z = 5
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