To solve the equation
\[ 76 = \frac{4}{5}a + 16, \]
follow these steps:
- Isolate the term with \(a\): Subtract 16 from both sides of the equation.
\[ 76 - 16 = \frac{4}{5}a \]
\[ 60 = \frac{4}{5}a \]
- Clear the fraction: Multiply both sides by \(\frac{5}{4}\) to solve for \(a\).
\[ a = 60 \cdot \frac{5}{4} \]
- Calculate the multiplication:
\[ a = 60 \cdot 1.25 = 75 \]
Thus, the solution is
\[ a = 75. \]