To solve for \( w \) in the equation \( 3w - 2 = 7 \), follow these steps:
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Add 2 to both sides of the equation:
\[ 3w - 2 + 2 = 7 + 2 \] \[ 3w = 9 \]
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Now, divide both sides by 3:
\[ w = \frac{9}{3} \] \[ w = 3 \]
Thus, the solution is:
\[ w = 3 \]