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Simplifying 7z + 8 + -5z = 22 + -5z Reorder the terms: 8 + 7z + -5z = 22 + -5z Combine like terms: 7z + -5z = 2z 8 + 2z = 22 + -5z Solving 8 + 2z = 22 + -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. 8 + 2z + 5z = 22 + -5z + 5z Combine like terms: 2z + 5z = 7z 8 + 7z = 22 + -5z + 5z Combine like terms: -5z + 5z = 0 8 + 7z = 22 + 0 8 + 7z = 22 Add '-8' to each side of the equation. 8 + -8 + 7z = 22 + -8 Combine like terms: 8 + -8 = 0 0 + 7z = 22 + -8 7z = 22 + -8 Combine like terms: 22 + -8 = 14 7z = 14 Divide each side by '7'. z = 2 Simplifying z = 2
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