-0.3(n-4)+n=0.5(3-n)

Solution for -0.3(n-4)+n=0.5(3-n) equation:

Simplifying
-0.3(n + -4) + n = 0.5(3 + -1n)

Reorder the terms:
-0.3(-4 + n) + n = 0.5(3 + -1n)
(-4 * -0.3 + n * -0.3) + n = 0.5(3 + -1n)
(1.2 + -0.3n) + n = 0.5(3 + -1n)

Combine like terms: -0.3n + n = 0.7n
1.2 + 0.7n = 0.5(3 + -1n)
1.2 + 0.7n = (3 * 0.5 + -1n * 0.5)
1.2 + 0.7n = (1.5 + -0.5n)

Solving
1.2 + 0.7n = 1.5 + -0.5n

Solving for variable 'n'.

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

Add '0.5n' to each side of the equation.
1.2 + 0.7n + 0.5n = 1.5 + -0.5n + 0.5n

Combine like terms: 0.7n + 0.5n = 1.2n
1.2 + 1.2n = 1.5 + -0.5n + 0.5n

Combine like terms: -0.5n + 0.5n = 0.0
1.2 + 1.2n = 1.5 + 0.0
1.2 + 1.2n = 1.5

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 1.2n = 1.5 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 1.2n = 1.5 + -1.2
1.2n = 1.5 + -1.2

Combine like terms: 1.5 + -1.2 = 0.3
1.2n = 0.3

Divide each side by '1.2'.
n = 0.25

Simplifying
n = 0.25