How do you solve #\frac { 11} { 6} - 3\frac { 1} { 2} p = p - \frac { 8} { 3}#?

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Answer 1 · 2016-12-22T09:14:19

#p=-1#

#11/6-3 1/2p=p-8/3#

#(-7p)/2-p=-11/6-8/3#

#(-7p)/2-p/1=(-11-16)/6#

multiply both sides by 2

#-7p-2p=(2(-11-16))/6#

multiply both sides by 6

#-42p-12p=-2(-11-16)#

#-54p=54#

#p=-1#

substitute #p=-1#

#-42(-1)-12(-1)=-2(-11-16)#

#42+12=54#

#54=54#