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-1-\left(-p\right)=-\left(2p-2\right)
To find the opposite of 1-p, find the opposite of each term.
-1+p=-\left(2p-2\right)
The opposite of -p is p.
-1+p=-2p-\left(-2\right)
To find the opposite of 2p-2, find the opposite of each term.
-1+p=-2p+2
The opposite of -2 is 2.
-1+p+2p=2
Add 2p to both sides.
-1+3p=2
Combine p and 2p to get 3p.
3p=2+1
Add 1 to both sides.
3p=3
Add 2 and 1 to get 3.
p=\frac{3}{3}
Divide both sides by 3.
p=1
Divide 3 by 3 to get 1.