.4+.1=1.5(n+4)

Solution for .4+.1=1.5(n+4) equation:

Simplifying
0.4 + 0.1 = 1.5(n + 4)

Combine like terms: 0.4 + 0.1 = 0.5
0.5 = 1.5(n + 4)

Reorder the terms:
0.5 = 1.5(4 + n)
0.5 = (4 * 1.5 + n * 1.5)
0.5 = (6 + 1.5n)

Solving
0.5 = 6 + 1.5n

Solving for variable 'n'.

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

Add '-1.5n' to each side of the equation.
0.5 + -1.5n = 6 + 1.5n + -1.5n

Combine like terms: 1.5n + -1.5n = 0.0
0.5 + -1.5n = 6 + 0.0
0.5 + -1.5n = 6

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -1.5n = 6 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.5n = 6 + -0.5
-1.5n = 6 + -0.5

Combine like terms: 6 + -0.5 = 5.5
-1.5n = 5.5

Divide each side by '-1.5'.
n = -3.666666667

Simplifying
n = -3.666666667