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Solving an equation involving n

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6n + 9 = -3n – 21 – 6
6n + 9 = -3n – 27
6n = -3n
n =
n =




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1 Answer

  1. 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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