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Simplifying 8z + 9 + -5z = 81 + -5z Reorder the terms: 9 + 8z + -5z = 81 + -5z Combine like terms: 8z + -5z = 3z 9 + 3z = 81 + -5z Solving 9 + 3z = 81 + -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 + 3z + 5z = 81 + -5z + 5z Combine like terms: 3z + 5z = 8z 9 + 8z = 81 + -5z + 5z Combine like terms: -5z + 5z = 0 9 + 8z = 81 + 0 9 + 8z = 81 Add '-9' to each side of the equation. 9 + -9 + 8z = 81 + -9 Combine like terms: 9 + -9 = 0 0 + 8z = 81 + -9 8z = 81 + -9 Combine like terms: 81 + -9 = 72 8z = 72 Divide each side by '8'. z = 9 Simplifying z = 9
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