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Simplifying 81 = (z + 8) * 9 Reorder the terms: 81 = (8 + z) * 9 Reorder the terms for easier multiplication: 81 = 9(8 + z) 81 = (8 * 9 + z * 9) 81 = (72 + 9z) Solving 81 = 72 + 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 + -9z = 72 + 9z + -9z Combine like terms: 9z + -9z = 0 81 + -9z = 72 + 0 81 + -9z = 72 Add '-81' to each side of the equation. 81 + -81 + -9z = 72 + -81 Combine like terms: 81 + -81 = 0 0 + -9z = 72 + -81 -9z = 72 + -81 Combine like terms: 72 + -81 = -9 -9z = -9 Divide each side by '-9'. z = 1 Simplifying z = 1
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