Idiom Definition 1:
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"to head up"  
  to lead    
      
  Synonyms: 
administer, adviser, boss, captain, cause, command, conductor, control, controller, counselor, deploy, direct, director, guide, impel, incite, inspire, lead, leader, mentor, mobilize, monitor, order, pilot, prompt, provoke, rosue, spark, steer, supervise, sway
 
 
 
  
 
 Idiom Definition 2:
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"to head up"  
    to depart and move or travel in an uphill direction    
    to depart and move or travel north (up on a map)    
    to depart and move or travel in the direction where the address numbers are increasing    
          
Synonyms: 
  beat it, bolt, decamp, depart, duck, embark, escape, exit, flee, getaway, go, hightail, leave, march, move, part, run, scram, skedaddle, split, start, vamoose, walk
   
   
    
