Question

3p – 7 + p = 13

Answer 1

\[3p-7+p=13\]Identify like terms (red and blue)\[\color{red}{3p}\color{blue}{-7}+\color{red}{p}=\color{blue}{13}\]Keep all red terms on the left, and move all blue terms to the right\[\color{red}{3p-p}\cancel{-7}\cancel{\color{blue}{+7}}=\color{blue}{13+7}\]Simplify\[\color{red}{2p}=\color{blue}{20}\]
We need to isolate the variable (\(p\)) to solve. So:\[2p=20\]Divide both sides by 2\[\frac{\cancel{2}p}{\cancel{\color{seagreen}{2}}}=\frac{20}{\color{seagreen}{2}}\]Simplify\[p=20\div2=10\]\[\therefore p=10\]

Answer 2

whis leads to the conclusion, if you perform that necessary last step of checking the solution by plugging back into the original problem, that 33 = 13

typo :)

\(\color{red}{3p+p}\cancel{-7}\cancel{\color{blue}{+7}}=\color{blue}{13+7}\)

Answer 3

Oops, I better fix that

Answer 4

I should space out my steps next time...


Okay, so the answer, revised:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @kittybasil
\[3p-7+p=13\]Identify like terms (red and blue)\[\color{red}{3p}\color{blue}{-7}+\color{red}{p}=\color{blue}{13}\]Keep all red terms on the left, and move all blue terms to the right\[\large{\color{red}{3p+p}\cancel{-7}\cancel{\color{blue}{+7}}=\color{blue}{13+7}}\]Simplify\[\color{red}{4p}=\color{blue}{20}\]
We need to isolate the variable (\(p\)) to solve. So:\[4p=20\]Divide both sides by 4\[\large{\frac{\cancel{4}p}{\cancel{\color{seagreen}{4}}}=\frac{20}{\color{seagreen}{4}}}\]Simplify\[p=20\div4=5\]\[\huge{\color{steelblue}{\therefore p=5}}\]
\(\color{#0cbb34}{\text{End of Quote}}\)