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Simplifying 4(8 + -1z) = 0 (8 * 4 + -1z * 4) = 0 (32 + -4z) = 0 Solving 32 + -4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -4z = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -4z = 0 + -32 -4z = 0 + -32 Combine like terms: 0 + -32 = -32 -4z = -32 Divide each side by '-4'. z = 8 Simplifying z = 8
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