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Simplifying (4z + 6)(4 + 0) = 0 Reorder the terms: (6 + 4z)(4 + 0) = 0 Combine like terms: 4 + 0 = 4 (6 + 4z)(4) = 0 Reorder the terms for easier multiplication: 4(6 + 4z) = 0 (6 * 4 + 4z * 4) = 0 (24 + 16z) = 0 Solving 24 + 16z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 16z = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 16z = 0 + -24 16z = 0 + -24 Combine like terms: 0 + -24 = -24 16z = -24 Divide each side by '16'. z = -1.5 Simplifying z = -1.5
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