8n+1-6n+5=-4(-6-3n)-8(-1+n)

Solution for 8n+1-6n+5=-4(-6-3n)-8(-1+n) equation:

Simplifying
8n + 1 + -6n + 5 = -4(-6 + -3n) + -8(-1 + n)

Reorder the terms:
1 + 5 + 8n + -6n = -4(-6 + -3n) + -8(-1 + n)

Combine like terms: 1 + 5 = 6
6 + 8n + -6n = -4(-6 + -3n) + -8(-1 + n)

Combine like terms: 8n + -6n = 2n
6 + 2n = -4(-6 + -3n) + -8(-1 + n)
6 + 2n = (-6 * -4 + -3n * -4) + -8(-1 + n)
6 + 2n = (24 + 12n) + -8(-1 + n)
6 + 2n = 24 + 12n + (-1 * -8 + n * -8)
6 + 2n = 24 + 12n + (8 + -8n)

Reorder the terms:
6 + 2n = 24 + 8 + 12n + -8n

Combine like terms: 24 + 8 = 32
6 + 2n = 32 + 12n + -8n

Combine like terms: 12n + -8n = 4n
6 + 2n = 32 + 4n

Solving
6 + 2n = 32 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
6 + 2n + -4n = 32 + 4n + -4n

Combine like terms: 2n + -4n = -2n
6 + -2n = 32 + 4n + -4n

Combine like terms: 4n + -4n = 0
6 + -2n = 32 + 0
6 + -2n = 32

Add '-6' to each side of the equation.
6 + -6 + -2n = 32 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = 32 + -6
-2n = 32 + -6

Combine like terms: 32 + -6 = 26
-2n = 26

Divide each side by '-2'.
n = -13

Simplifying
n = -13