To solve the inequality \( 3w + 6 < -3 \), follow these steps:
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Subtract 6 from both sides:
\[ 3w + 6 - 6 < -3 - 6 \]
This simplifies to:
\[ 3w < -9 \]
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Now, divide both sides by 3:
\[ w < \frac{-9}{3} \]
This simplifies to:
\[ w < -3 \]
So the solution to the inequality is:
\[ w < -3 \]