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Simplifying 2(z + 4) = 0 Reorder the terms: 2(4 + z) = 0 (4 * 2 + z * 2) = 0 (8 + 2z) = 0 Solving 8 + 2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2z = 0 + -8 2z = 0 + -8 Combine like terms: 0 + -8 = -8 2z = -8 Divide each side by '2'. z = -4 Simplifying z = -4
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