30 = −5(6n + 6)

To solve the equation (30 = -5(6n + 6)), follow these steps:

1. Distribute the -5:

[

30 = -5 cdot 6n – 5 cdot 6

]

This simplifies to:

[

30 = -30n – 30

]

2. Add 30 to both sides to isolate the term with (n):

[

30 + 30 = -30n

]

This gives:

[

60 = -30n

]

3. Divide both sides by -30 to solve for (n):

[

n = frac{60}{-30} = -2

]

So, the solution is (n = -2).

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