Solving an equation involving n

Question

Use the drop-down menus to choose steps in order to correctly solve 6n + 9 = -3n – 21 – 6 6n + 9 = -3n – 27 6n = -3n n = n =

Quizzma Team · Answer

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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