Start by isolating the variable \(a\) on one side of the equation. The given equation is:
\[ 9a + 3 = 3 \]
Subtract 3 from both sides to eliminate the constant term on the left:
\[ 9a + 3 - 3 = 3 - 3 \]
This simplifies to:
\[ 9a = 0 \]
Now, divide both sides by 9 to solve for \(a\):
\[ a = \frac{0}{9} \]
\[ a = 0 \]
Substitute \(a = 0\) back into the original equation to verify the solution:
\[ 9(0) + 3 = 3 \]
\[ 0 + 3 = 3 \]
Since both sides of the equation are equal, the solution is verified.
\[ \boxed{a = 0} \]
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