2(1-n)+6n=-13(6n+6-3n)

Solution for 2(1-n)+6n=-13(6n+6-3n) equation:

Simplifying
2(1 + -1n) + 6n = -13(6n + 6 + -3n)
(1 * 2 + -1n * 2) + 6n = -13(6n + 6 + -3n)
(2 + -2n) + 6n = -13(6n + 6 + -3n)

Combine like terms: -2n + 6n = 4n
2 + 4n = -13(6n + 6 + -3n)

Reorder the terms:
2 + 4n = -13(6 + 6n + -3n)

Combine like terms: 6n + -3n = 3n
2 + 4n = -13(6 + 3n)
2 + 4n = (6 * -13 + 3n * -13)
2 + 4n = (-78 + -39n)

Solving
2 + 4n = -78 + -39n

Solving for variable 'n'.

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

Add '39n' to each side of the equation.
2 + 4n + 39n = -78 + -39n + 39n

Combine like terms: 4n + 39n = 43n
2 + 43n = -78 + -39n + 39n

Combine like terms: -39n + 39n = 0
2 + 43n = -78 + 0
2 + 43n = -78

Add '-2' to each side of the equation.
2 + -2 + 43n = -78 + -2

Combine like terms: 2 + -2 = 0
0 + 43n = -78 + -2
43n = -78 + -2

Combine like terms: -78 + -2 = -80
43n = -80

Divide each side by '43'.
n = -1.860465116

Simplifying
n = -1.860465116