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10-9p=-14p
We move all terms to the left:
10-9p-(-14p)=0
We get rid of parentheses
-9p+14p+10=0
We add all the numbers together, and all the variables
5p+10=0
We move all terms containing p to the left, all other terms to the right
5p=-10
p=-10/5
p=-2
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