To solve the equation \( 2.25(a + 1.3) = 20.7 \), follow these steps:
-
Divide both sides by 2.25 to isolate the expression inside the parentheses:
\[ a + 1.3 = \frac{20.7}{2.25} \]
-
Calculate the right side:
\[ \frac{20.7}{2.25} = 9.2 \]
Now the equation looks like this:
\[ a + 1.3 = 9.2 \]
-
Subtract 1.3 from both sides to solve for \( a \):
\[ a = 9.2 - 1.3 \]
-
Calculate the value of \( a \):
\[ a = 7.9 \]
So, the value of \( a \) is \( \boxed{7.9} \).