Question 364655
{{{3p-7p + 22 = 2}}}
{{{-4p+22=2}}}
{{{-4p=-20}}}
{{{highlight(p=5)}}}
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You can always check a solution by putting it back into the original equation.
{{{3p-7p+22=2}}}
{{{3(-5)-7(-5)+22=2}}}
{{{-15+35+22=2}}}
{{{20+22=2}}}
{{{42=2}}}
So then, {{{p=-5}}} cannot be the solution since it doesn't lead to a true statement.
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{{{3p-7p+22=2}}}
{{{3(5)-7(5)+22=2}}}
{{{15-35+22=2}}}
{{{-20+22=2}}}
{{{2=2}}}
True, so {{{p=5}}} is the correct solution.