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Simplifying 2(2z + 9) = 38 Reorder the terms: 2(9 + 2z) = 38 (9 * 2 + 2z * 2) = 38 (18 + 4z) = 38 Solving 18 + 4z = 38 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 + 4z = 38 + -18 Combine like terms: 18 + -18 = 0 0 + 4z = 38 + -18 4z = 38 + -18 Combine like terms: 38 + -18 = 20 4z = 20 Divide each side by '4'. z = 5 Simplifying z = 5
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