-6+4n=-(1+n)-7(3n-3)

Solution for -6+4n=-(1+n)-7(3n-3) equation:

Simplifying
-6 + 4n = -1(1 + n) + -7(3n + -3)
-6 + 4n = (1 * -1 + n * -1) + -7(3n + -3)
-6 + 4n = (-1 + -1n) + -7(3n + -3)

Reorder the terms:
-6 + 4n = -1 + -1n + -7(-3 + 3n)
-6 + 4n = -1 + -1n + (-3 * -7 + 3n * -7)
-6 + 4n = -1 + -1n + (21 + -21n)

Reorder the terms:
-6 + 4n = -1 + 21 + -1n + -21n

Combine like terms: -1 + 21 = 20
-6 + 4n = 20 + -1n + -21n

Combine like terms: -1n + -21n = -22n
-6 + 4n = 20 + -22n

Solving
-6 + 4n = 20 + -22n

Solving for variable 'n'.

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

Add '22n' to each side of the equation.
-6 + 4n + 22n = 20 + -22n + 22n

Combine like terms: 4n + 22n = 26n
-6 + 26n = 20 + -22n + 22n

Combine like terms: -22n + 22n = 0
-6 + 26n = 20 + 0
-6 + 26n = 20

Add '6' to each side of the equation.
-6 + 6 + 26n = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 26n = 20 + 6
26n = 20 + 6

Combine like terms: 20 + 6 = 26
26n = 26

Divide each side by '26'.
n = 1

Simplifying
n = 1