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Simplifying 8(5z + 8) = 0 Reorder the terms: 8(8 + 5z) = 0 (8 * 8 + 5z * 8) = 0 (64 + 40z) = 0 Solving 64 + 40z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 40z = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 40z = 0 + -64 40z = 0 + -64 Combine like terms: 0 + -64 = -64 40z = -64 Divide each side by '40'. z = -1.6 Simplifying z = -1.6
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