Solve for p
p=-10
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\left(p+4\right)\left(-6\right)=\left(p+1\right)\left(-4\right)
Variable p cannot be equal to any of the values -4,-1 since division by zero is not defined. Multiply both sides of the equation by \left(p+1\right)\left(p+4\right), the least common multiple of p+1,p+4.
-6p-24=\left(p+1\right)\left(-4\right)
Use the distributive property to multiply p+4 by -6.
-6p-24=-4p-4
Use the distributive property to multiply p+1 by -4.
-6p-24+4p=-4
Add 4p to both sides.
-2p-24=-4
Combine -6p and 4p to get -2p.
-2p=-4+24
Add 24 to both sides.
-2p=20
Add -4 and 24 to get 20.
p=\frac{20}{-2}
Divide both sides by -2.
p=-10
Divide 20 by -2 to get -10.
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