-2n+4(-n+4)=-5(-n+1)-1

Solution for -2n+4(-n+4)=-5(-n+1)-1 equation:

Simplifying
-2n + 4(-1n + 4) = -5(-1n + 1) + -1

Reorder the terms:
-2n + 4(4 + -1n) = -5(-1n + 1) + -1
-2n + (4 * 4 + -1n * 4) = -5(-1n + 1) + -1
-2n + (16 + -4n) = -5(-1n + 1) + -1

Reorder the terms:
16 + -2n + -4n = -5(-1n + 1) + -1

Combine like terms: -2n + -4n = -6n
16 + -6n = -5(-1n + 1) + -1

Reorder the terms:
16 + -6n = -5(1 + -1n) + -1
16 + -6n = (1 * -5 + -1n * -5) + -1
16 + -6n = (-5 + 5n) + -1

Reorder the terms:
16 + -6n = -5 + -1 + 5n

Combine like terms: -5 + -1 = -6
16 + -6n = -6 + 5n

Solving
16 + -6n = -6 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
16 + -6n + -5n = -6 + 5n + -5n

Combine like terms: -6n + -5n = -11n
16 + -11n = -6 + 5n + -5n

Combine like terms: 5n + -5n = 0
16 + -11n = -6 + 0
16 + -11n = -6

Add '-16' to each side of the equation.
16 + -16 + -11n = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -11n = -6 + -16
-11n = -6 + -16

Combine like terms: -6 + -16 = -22
-11n = -22

Divide each side by '-11'.
n = 2

Simplifying
n = 2