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2=p\times 3+1
Variable p cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by p.
p\times 3+1=2
Swap sides so that all variable terms are on the left hand side.
p\times 3=2-1
Subtract 1 from both sides.
p\times 3=1
Subtract 1 from 2 to get 1.
p=\frac{1}{3}
Divide both sides by 3.