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Simplifying 8(3z + 16) = 0 Reorder the terms: 8(16 + 3z) = 0 (16 * 8 + 3z * 8) = 0 (128 + 24z) = 0 Solving 128 + 24z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-128' to each side of the equation. 128 + -128 + 24z = 0 + -128 Combine like terms: 128 + -128 = 0 0 + 24z = 0 + -128 24z = 0 + -128 Combine like terms: 0 + -128 = -128 24z = -128 Divide each side by '24'. z = -5.333333333 Simplifying z = -5.333333333
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