.2(n+4)-3=2n+1

Solution for .2(n+4)-3=2n+1 equation:

Simplifying
0.2(n + 4) + -3 = 2n + 1

Reorder the terms:
0.2(4 + n) + -3 = 2n + 1
(4 * 0.2 + n * 0.2) + -3 = 2n + 1
(0.8 + 0.2n) + -3 = 2n + 1

Reorder the terms:
0.8 + -3 + 0.2n = 2n + 1

Combine like terms: 0.8 + -3 = -2.2
-2.2 + 0.2n = 2n + 1

Reorder the terms:
-2.2 + 0.2n = 1 + 2n

Solving
-2.2 + 0.2n = 1 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-2.2 + 0.2n + -2n = 1 + 2n + -2n

Combine like terms: 0.2n + -2n = -1.8n
-2.2 + -1.8n = 1 + 2n + -2n

Combine like terms: 2n + -2n = 0
-2.2 + -1.8n = 1 + 0
-2.2 + -1.8n = 1

Add '2.2' to each side of the equation.
-2.2 + 2.2 + -1.8n = 1 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + -1.8n = 1 + 2.2
-1.8n = 1 + 2.2

Combine like terms: 1 + 2.2 = 3.2
-1.8n = 3.2

Divide each side by '-1.8'.
n = -1.777777778

Simplifying
n = -1.777777778