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Simplifying (4z + 9)(4 + -2) = 0 Reorder the terms: (9 + 4z)(4 + -2) = 0 Combine like terms: 4 + -2 = 2 (9 + 4z)(2) = 0 Reorder the terms for easier multiplication: 2(9 + 4z) = 0 (9 * 2 + 4z * 2) = 0 (18 + 8z) = 0 Solving 18 + 8z = 0 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 + 8z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 8z = 0 + -18 8z = 0 + -18 Combine like terms: 0 + -18 = -18 8z = -18 Divide each side by '8'. z = -2.25 Simplifying z = -2.25
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