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Simplifying 2(z + 9) = 32 Reorder the terms: 2(9 + z) = 32 (9 * 2 + z * 2) = 32 (18 + 2z) = 32 Solving 18 + 2z = 32 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 2z = 32 + -18 Combine like terms: 18 + -18 = 0 0 + 2z = 32 + -18 2z = 32 + -18 Combine like terms: 32 + -18 = 14 2z = 14 Divide each side by '2'. z = 7 Simplifying z = 7
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