6-8(n+81)=6n-2(n-1)

Solution for 6-8(n+81)=6n-2(n-1) equation:

Simplifying
6 + -8(n + 81) = 6n + -2(n + -1)

Reorder the terms:
6 + -8(81 + n) = 6n + -2(n + -1)
6 + (81 * -8 + n * -8) = 6n + -2(n + -1)
6 + (-648 + -8n) = 6n + -2(n + -1)

Combine like terms: 6 + -648 = -642
-642 + -8n = 6n + -2(n + -1)

Reorder the terms:
-642 + -8n = 6n + -2(-1 + n)
-642 + -8n = 6n + (-1 * -2 + n * -2)
-642 + -8n = 6n + (2 + -2n)

Reorder the terms:
-642 + -8n = 2 + 6n + -2n

Combine like terms: 6n + -2n = 4n
-642 + -8n = 2 + 4n

Solving
-642 + -8n = 2 + 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.
-642 + -8n + -4n = 2 + 4n + -4n

Combine like terms: -8n + -4n = -12n
-642 + -12n = 2 + 4n + -4n

Combine like terms: 4n + -4n = 0
-642 + -12n = 2 + 0
-642 + -12n = 2

Add '642' to each side of the equation.
-642 + 642 + -12n = 2 + 642

Combine like terms: -642 + 642 = 0
0 + -12n = 2 + 642
-12n = 2 + 642

Combine like terms: 2 + 642 = 644
-12n = 644

Divide each side by '-12'.
n = -53.66666667

Simplifying
n = -53.66666667