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Simplifying 9(2z + 1) = 81 Reorder the terms: 9(1 + 2z) = 81 (1 * 9 + 2z * 9) = 81 (9 + 18z) = 81 Solving 9 + 18z = 81 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 18z = 81 + -9 Combine like terms: 9 + -9 = 0 0 + 18z = 81 + -9 18z = 81 + -9 Combine like terms: 81 + -9 = 72 18z = 72 Divide each side by '18'. z = 4 Simplifying z = 4
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