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6n + 9 = -3n – 21 – 6
6n + 9 = -3n – 27
6n = -3n
n =
n =
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To solve the equation ( 6n + 9 = -3n – 21 – 6 ), let’s go through the steps clearly:
1. Start with the original equation:
[
6n + 9 = -3n – 21 – 6
]
2. Simplify the right side:
[
-21 – 6 = -27
]
The equation now looks like:
[
6n + 9 = -3n – 27
]
3. Next, add ( 3n ) to both sides to get all ( n )-terms on one side:
[
6n + 3n + 9 = -27
]
This simplifies to:
[
9n + 9 = -27
]
4. Now, subtract ( 9 ) from both sides:
[
9n = -27 – 9
]
This simplifies to:
[
9n = -36
]
5. Finally, divide both sides by ( 9 ):
[
n = frac{-36}{9}
]
This simplifies to:
[
n = -4
]
So, the solution to the equation is ( n = -4 ).
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