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3\left(p+4\right)-2\left(p-2\right)=18
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3p+12-2\left(p-2\right)=18
Use the distributive property to multiply 3 by p+4.
3p+12-2p+4=18
Use the distributive property to multiply -2 by p-2.
p+12+4=18
Combine 3p and -2p to get p.
p+16=18
Add 12 and 4 to get 16.
p=18-16
Subtract 16 from both sides.
p=2
Subtract 16 from 18 to get 2.