Question 108236

{{{3p-7+9-2p=p+2}}} Start with the given equation




{{{p+2=p+2}}} Combine like terms on the left side



{{{p=p+2-2}}}Subtract 2 from both sides



{{{p-p=2-2}}} Subtract p from both sides



{{{0p=2-2}}} Combine like terms on the left side



{{{0p=0}}} Combine like terms on the right side



{{{0=0}}} Simplify


Since this equation is always true for any p value, this means p can equal any number. So there are an infinite number of solutions.