[tex]20p+75=35p+30[/tex]
Step 1: Subtract [tex]20p[/tex] from both [tex]p[/tex] sides
[tex]\:\:\:\:20p+75=35p+30\\-20\:\:\:\:\:\:\:\:\:\:\:\:-20[/tex]
20 - 20 = 0, so it is canceled out. 35 - 20 = 15, don't forget the [tex]p[/tex]!
[tex]75=15p+30[/tex]
Step 2: Subtract 30 from both sides
[tex]\:\:\:\:75=15p+30\\-30\:\:\:\:\:\:\:\:\:\:\:\:-30[/tex]
30 - 30 = 0, so it is canceled out. 75 - 30 = 45.
[tex]45=15p[/tex]
Step 3: Divide both sides by 15
[tex]\frac{45}{15} =\frac{15p}{15}[/tex]
15 ÷ 15 cancels out. 45 ÷ 15 = 3.
[tex]20p+75=35p+30\quad :\quad \boxed {\bold {p=3}}[/tex]
