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6-7(1+7p)=40-8p
We move all terms to the left:
6-7(1+7p)-(40-8p)=0
We add all the numbers together, and all the variables
-7(7p+1)-(-8p+40)+6=0
We multiply parentheses
-49p-(-8p+40)-7+6=0
We get rid of parentheses
-49p+8p-40-7+6=0
We add all the numbers together, and all the variables
-41p-41=0
We move all terms containing p to the left, all other terms to the right
-41p=41
p=41/-41
p=-1
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