# How do you solve #a-2<3a+2(a+3)#?

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To solve the inequality ( a - 2 < 3a + 2(a + 3) ), follow these steps:

- Distribute the ( 2 ) on the right side: ( a - 2 < 3a + 2a + 6 )
- Combine like terms: ( a - 2 < 5a + 6 )
- Subtract ( a ) from both sides: ( -2 < 4a + 6 )
- Subtract ( 6 ) from both sides: ( -8 < 4a )
- Divide both sides by ( 4 ): ( -2 < a )

So, the solution is ( a > -2 ).

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