To solve the equation \( 9z + 9z - 2 = 12 \), we can first combine the terms on the left side:
\[ 18z - 2 = 12 \]
Next, we add 2 to both sides:
\[ 18z = 14 \]
Now, we divide both sides by 18:
\[ z = \frac{14}{18} \]
This simplifies to:
\[ z = \frac{7}{9} \]
Since \( \frac{7}{9} \) is not listed among the options you provided, it appears there may have been a misunderstanding or mistake.
Based on the options you provided:
- 12
- \(\frac{1}{2}\)
- 12 and 3
- \(\frac{1}{2}\) and 3
- no solution
- 3
None of these options are correct. The only solution to the equation \( 9z + 9z - 2 = 12 \) is \( z = \frac{7}{9} \).