Answer:
Method 1: First expanding then canceling.
We expand the expression on the left side of the equation and get
[tex]6p=0.6*5p+0.6*15[/tex]
[tex]6p=3p+9[/tex].
Now we subtract [tex]3p[/tex] from both sides and get:
[tex]3p=9[/tex]
[tex]\boxed{p=3}[/tex]
Method 2: First dividing then canceling.
We divide the equation by 0.6 and get:
[tex]\frac{6p}{0.6} =\frac{0.6(5p+15)}{0.6}[/tex],
[tex]10p=5p+15[/tex],
now we subtract [tex]5p[/tex] from both sides and get
[tex]5p=15[/tex]
[tex]\boxed{p=3}[/tex]
