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Simplifying z + 81 = 9z + 7 Reorder the terms: 81 + z = 9z + 7 Reorder the terms: 81 + z = 7 + 9z Solving 81 + z = 7 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 81 + z + -9z = 7 + 9z + -9z Combine like terms: z + -9z = -8z 81 + -8z = 7 + 9z + -9z Combine like terms: 9z + -9z = 0 81 + -8z = 7 + 0 81 + -8z = 7 Add '-81' to each side of the equation. 81 + -81 + -8z = 7 + -81 Combine like terms: 81 + -81 = 0 0 + -8z = 7 + -81 -8z = 7 + -81 Combine like terms: 7 + -81 = -74 -8z = -74 Divide each side by '-8'. z = 9.25 Simplifying z = 9.25
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