[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{\dfrac{3}{5}n +15=10+\dfrac{2}{5}n}[/tex]
[tex]\mathsf{\bf{SUBTRACT}\ \mathsf{by\ \dfrac{2}{5}n\ from\ both\ of\ your\ sides}}[/tex]
[tex]\mathsf{Like: \dfrac{3}{5}n+15-\dfrac{2}{5}n=\dfrac{2}{5}n+10-\dfrac{2}{5}n}[/tex]
[tex]\mathsf{\bf{CANCEL: \dfrac{3}{5}+\dfrac{2}{5}}}\textsf{out\ because that gives you\ 1}[/tex]
[tex]\textsf{Solve\ the set we have left over}[/tex]
[tex]\mathsf{Our\ new\ equation\ becomes: \dfrac{1}{5}n+15=10}[/tex]
[tex]\mathsf{\bf{SUBTRACT}}\textsf{ by 15 on both of your sides}[/tex]
[tex]\mathsf{\dfrac{1}{5}n+15-15=10-15}[/tex]
[tex]\mathsf{Cancel\ out: 15-15\ because\ that\gives\ you\ 0 }[/tex]
[tex]\mathsf{Keep: 10-15\ because\ it\ helps\ us\ solve\ for\ your\ n }[/tex]
[tex]\mathsf{10-15=-5}[/tex]
[tex]\mathsf{New\ equation: \dfrac{1}{5}n=-5}[/tex]
[tex]\mathsf{\bf{MULTIPLY}\mathsf{\ both\ sides\ by\ 5}}[/tex]
[tex]\mathsf{\dfrac{1}{5}n\times5=5\times-5}[/tex]
[tex]\mathsf{Cancel\ out\ \dfrac{1}{5}\times5 \ because \ it \ gives \ us \ 1}[/tex][tex]\mathsf{Keep: 5\times -5\ because\ it\gives\ us\ the\ value\ of\ your\ n}[/tex]
[tex]\mathsf{n =5\times-5}\\\mathsf{5\times-5 = -25}[/tex]
[tex]\textsf{Thus, \underline{\bf{n = -25}}}\checkmark[/tex]
[tex]\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\boxed{\bf{n =-25}}}}}}\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
