-59=-4(-1-4n)+1

Solution for -59=-4(-1-4n)+1 equation:

Simplifying
-59 = -4(-1 + -4n) + 1
-59 = (-1 * -4 + -4n * -4) + 1
-59 = (4 + 16n) + 1

Reorder the terms:
-59 = 4 + 1 + 16n

Combine like terms: 4 + 1 = 5
-59 = 5 + 16n

Solving
-59 = 5 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
-59 + -16n = 5 + 16n + -16n

Combine like terms: 16n + -16n = 0
-59 + -16n = 5 + 0
-59 + -16n = 5

Add '59' to each side of the equation.
-59 + 59 + -16n = 5 + 59

Combine like terms: -59 + 59 = 0
0 + -16n = 5 + 59
-16n = 5 + 59

Combine like terms: 5 + 59 = 64
-16n = 64

Divide each side by '-16'.
n = -4

Simplifying
n = -4