4n+2(2n+8)=-26+2n

Solution for 4n+2(2n+8)=-26+2n equation:

Simplifying
4n + 2(2n + 8) = -26 + 2n

Reorder the terms:
4n + 2(8 + 2n) = -26 + 2n
4n + (8 * 2 + 2n * 2) = -26 + 2n
4n + (16 + 4n) = -26 + 2n

Reorder the terms:
16 + 4n + 4n = -26 + 2n

Combine like terms: 4n + 4n = 8n
16 + 8n = -26 + 2n

Solving
16 + 8n = -26 + 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.
16 + 8n + -2n = -26 + 2n + -2n

Combine like terms: 8n + -2n = 6n
16 + 6n = -26 + 2n + -2n

Combine like terms: 2n + -2n = 0
16 + 6n = -26 + 0
16 + 6n = -26

Add '-16' to each side of the equation.
16 + -16 + 6n = -26 + -16

Combine like terms: 16 + -16 = 0
0 + 6n = -26 + -16
6n = -26 + -16

Combine like terms: -26 + -16 = -42
6n = -42

Divide each side by '6'.
n = -7

Simplifying
n = -7