Solve for p
p=0
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-174=-12p+36-14\left(18p+15\right)
Use the distributive property to multiply -12 by p-3.
-174=-12p+36-252p-210
Use the distributive property to multiply -14 by 18p+15.
-174=-264p+36-210
Combine -12p and -252p to get -264p.
-174=-264p-174
Subtract 210 from 36 to get -174.
-264p-174=-174
Swap sides so that all variable terms are on the left hand side.
-264p=-174+174
Add 174 to both sides.
-264p=0
Add -174 and 174 to get 0.
p=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -264 is not equal to 0, p must be equal to 0.
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