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Simplifying 9z + 4 + -7z = 49 + -7z Reorder the terms: 4 + 9z + -7z = 49 + -7z Combine like terms: 9z + -7z = 2z 4 + 2z = 49 + -7z Solving 4 + 2z = 49 + -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. 4 + 2z + 7z = 49 + -7z + 7z Combine like terms: 2z + 7z = 9z 4 + 9z = 49 + -7z + 7z Combine like terms: -7z + 7z = 0 4 + 9z = 49 + 0 4 + 9z = 49 Add '-4' to each side of the equation. 4 + -4 + 9z = 49 + -4 Combine like terms: 4 + -4 = 0 0 + 9z = 49 + -4 9z = 49 + -4 Combine like terms: 49 + -4 = 45 9z = 45 Divide each side by '9'. z = 5 Simplifying z = 5
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