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Simplifying 7z + 9 + -5z = 44 + -5z Reorder the terms: 9 + 7z + -5z = 44 + -5z Combine like terms: 7z + -5z = 2z 9 + 2z = 44 + -5z Solving 9 + 2z = 44 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 9 + 2z + 5z = 44 + -5z + 5z Combine like terms: 2z + 5z = 7z 9 + 7z = 44 + -5z + 5z Combine like terms: -5z + 5z = 0 9 + 7z = 44 + 0 9 + 7z = 44 Add '-9' to each side of the equation. 9 + -9 + 7z = 44 + -9 Combine like terms: 9 + -9 = 0 0 + 7z = 44 + -9 7z = 44 + -9 Combine like terms: 44 + -9 = 35 7z = 35 Divide each side by '7'. z = 5 Simplifying z = 5
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