0.7n-1.538=2n-0.4n

Solution for 0.7n-1.538=2n-0.4n equation:

Simplifying
0.7n + -1.538 = 2n + -0.4n

Reorder the terms:
-1.538 + 0.7n = 2n + -0.4n

Combine like terms: 2n + -0.4n = 1.6n
-1.538 + 0.7n = 1.6n

Solving
-1.538 + 0.7n = 1.6n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-1.6n' to each side of the equation.
-1.538 + 0.7n + -1.6n = 1.6n + -1.6n

Combine like terms: 0.7n + -1.6n = -0.9n
-1.538 + -0.9n = 1.6n + -1.6n

Combine like terms: 1.6n + -1.6n = 0.0
-1.538 + -0.9n = 0.0

Add '1.538' to each side of the equation.
-1.538 + 1.538 + -0.9n = 0.0 + 1.538

Combine like terms: -1.538 + 1.538 = 0.000
0.000 + -0.9n = 0.0 + 1.538
-0.9n = 0.0 + 1.538

Combine like terms: 0.0 + 1.538 = 1.538
-0.9n = 1.538

Divide each side by '-0.9'.
n = -1.708888889

Simplifying
n = -1.708888889