To solve the equation \((11.2 - p) \cdot 4.5 = 31.5\), follow these steps:
Divide both sides by 4.5 to isolate the term with \(p\):
\[ 11.2 - p = \frac{31.5}{4.5} \]
Calculate \(\frac{31.5}{4.5}\):
\[ \frac{31.5}{4.5} = 7 \]
Now the equation is:
\[ 11.2 - p = 7 \]
Subtract 11.2 from both sides:
\[ -p = 7 - 11.2 \]
\[ -p = -4.2 \]
Multiply both sides by -1 to solve for \(p\):
\[ p = 4.2 \]
So the solution is:
\[ p = 4.2 \]