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