8-2(1+6n)=6(1+8n)-7n

Solution for 8-2(1+6n)=6(1+8n)-7n equation:

Simplifying
8 + -2(1 + 6n) = 6(1 + 8n) + -7n
8 + (1 * -2 + 6n * -2) = 6(1 + 8n) + -7n
8 + (-2 + -12n) = 6(1 + 8n) + -7n

Combine like terms: 8 + -2 = 6
6 + -12n = 6(1 + 8n) + -7n
6 + -12n = (1 * 6 + 8n * 6) + -7n
6 + -12n = (6 + 48n) + -7n

Combine like terms: 48n + -7n = 41n
6 + -12n = 6 + 41n

Add '-6' to each side of the equation.
6 + -6 + -12n = 6 + -6 + 41n

Combine like terms: 6 + -6 = 0
0 + -12n = 6 + -6 + 41n
-12n = 6 + -6 + 41n

Combine like terms: 6 + -6 = 0
-12n = 0 + 41n
-12n = 41n

Solving
-12n = 41n

Solving for variable 'n'.

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

Add '-41n' to each side of the equation.
-12n + -41n = 41n + -41n

Combine like terms: -12n + -41n = -53n
-53n = 41n + -41n

Combine like terms: 41n + -41n = 0
-53n = 0

Divide each side by '-53'.
n = 0

Simplifying
n = 0