To solve the equation \( ax - 9 = 20 \), follow these steps:
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Add 9 to both sides of the equation: \[ ax - 9 + 9 = 20 + 9 \] which simplifies to: \[ ax = 29 \]
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Now, divide both sides by \( a \) (assuming \( a \neq 0 \)): \[ x = \frac{29}{a} \]
Thus, the solution is: \[ x = \frac{29}{a} \]
Now, let's compare this with the options given:
A. \( x = \frac{11}{a} \)
B. \( x = \frac{-29}{a} \)
C. \( x = \frac{a}{29} \)
D. \( x = \frac{29}{a} \)
The correct answer is D. \( x = \frac{29}{a} \).