30 = −5(6n + 6)
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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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