4n+6-2n=.2(n+3)

Solution for 4n+6-2n=.2(n+3) equation:

Simplifying
4n + 6 + -2n = 0.2(n + 3)

Reorder the terms:
6 + 4n + -2n = 0.2(n + 3)

Combine like terms: 4n + -2n = 2n
6 + 2n = 0.2(n + 3)

Reorder the terms:
6 + 2n = 0.2(3 + n)
6 + 2n = (3 * 0.2 + n * 0.2)
6 + 2n = (0.6 + 0.2n)

Solving
6 + 2n = 0.6 + 0.2n

Solving for variable 'n'.

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

Add '-0.2n' to each side of the equation.
6 + 2n + -0.2n = 0.6 + 0.2n + -0.2n

Combine like terms: 2n + -0.2n = 1.8n
6 + 1.8n = 0.6 + 0.2n + -0.2n

Combine like terms: 0.2n + -0.2n = 0.0
6 + 1.8n = 0.6 + 0.0
6 + 1.8n = 0.6

Add '-6' to each side of the equation.
6 + -6 + 1.8n = 0.6 + -6

Combine like terms: 6 + -6 = 0
0 + 1.8n = 0.6 + -6
1.8n = 0.6 + -6

Combine like terms: 0.6 + -6 = -5.4
1.8n = -5.4

Divide each side by '1.8'.
n = -3

Simplifying
n = -3