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Simplifying 100[0.08(z + 4)] = 0 Reorder the terms: 100[0.08(4 + z)] = 0 100[(4 * 0.08 + z * 0.08)] = 0 100[(0.32 + 0.08z)] = 0 [0.32 * 100 + 0.08z * 100] = 0 [32 + 8z] = 0 Solving 32 + 8z = 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 + 8z = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8z = 0 + -32 8z = 0 + -32 Combine like terms: 0 + -32 = -32 8z = -32 Divide each side by '8'. z = -4 Simplifying z = -4
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