36+2n=-4n+6(1+2n)

Solution for 36+2n=-4n+6(1+2n) equation:

Simplifying
36 + 2n = -4n + 6(1 + 2n)
36 + 2n = -4n + (1 * 6 + 2n * 6)
36 + 2n = -4n + (6 + 12n)

Reorder the terms:
36 + 2n = 6 + -4n + 12n

Combine like terms: -4n + 12n = 8n
36 + 2n = 6 + 8n

Solving
36 + 2n = 6 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
36 + 2n + -8n = 6 + 8n + -8n

Combine like terms: 2n + -8n = -6n
36 + -6n = 6 + 8n + -8n

Combine like terms: 8n + -8n = 0
36 + -6n = 6 + 0
36 + -6n = 6

Add '-36' to each side of the equation.
36 + -36 + -6n = 6 + -36

Combine like terms: 36 + -36 = 0
0 + -6n = 6 + -36
-6n = 6 + -36

Combine like terms: 6 + -36 = -30
-6n = -30

Divide each side by '-6'.
n = 5

Simplifying
n = 5