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4p=3\left(p+3\right)
Variable p cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by 8\left(p+3\right), the least common multiple of 2p+6,8.
4p=3p+9
Use the distributive property to multiply 3 by p+3.
4p-3p=9
Subtract 3p from both sides.
p=9
Combine 4p and -3p to get p.