$p-10=3p+14$
Move the variable to the left-hand side and change its sign$p-10-3p=14$
Move the constant to the right-hand side and change its sign$p-3p=14+10$
Collect like terms$-2p=14+10$
Add the numbers$-2p=24$
Divide both sides of the equation by $-2$$p=-12$