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