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6p-3\left(p-1\right)=6-2\left(p-2\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
6p-3p+3=6-2\left(p-2\right)
Use the distributive property to multiply -3 by p-1.
3p+3=6-2\left(p-2\right)
Combine 6p and -3p to get 3p.
3p+3=6-2p+4
Use the distributive property to multiply -2 by p-2.
3p+3=10-2p
Add 6 and 4 to get 10.
3p+3+2p=10
Add 2p to both sides.
5p+3=10
Combine 3p and 2p to get 5p.
5p=10-3
Subtract 3 from both sides.
5p=7
Subtract 3 from 10 to get 7.
p=\frac{7}{5}
Divide both sides by 5.