Solve for n.
2/5 n + 3 – 7/10 n = 3/5 – 3n
n =
Solve for n. 2/5 n + 3 – 7/10 n = 3/5 – 3n n =
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Solve for n.
2/5 n + 3 – 7/10 n = 3/5 – 3n
n =
To solve the equation ( frac{2}{5} n + 3 – frac{7}{10} n = frac{3}{5} – 3n ), we will follow these steps:
1. Combine like terms: Start by bringing all the terms involving ( n ) to one side and the constant terms to the other side.
Let’s convert ( frac{7}{10} n ) to have a common denominator with ( frac{2}{5} n ). Since ( frac{2}{5} = frac{4}{10} ), we can rewrite the equation:
[
frac{2}{5} n – frac{7}{10} n + 3 = frac{3}{5} – 3n
]
This can be rewritten as:
[
frac{4}{10} n – frac{7}{10} n + 3 = frac{3}{5} – 3n
]
Combine ( n ) terms:
[
-frac{3}{10} n + 3 = frac{3}{5} – 3n
]
2. Isolate ( n ): We’ll move ( -3n ) to the left side and ( 3 ) to the right side:
[
-frac