8n-2(n-3)=12

Solution for 8n-2(n-3)=12 equation:

Simplifying
8n + -2(n + -3) = 12

Reorder the terms:
8n + -2(-3 + n) = 12
8n + (-3 * -2 + n * -2) = 12
8n + (6 + -2n) = 12

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

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

Solving
6 + 6n = 12

Solving for variable 'n'.

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

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

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

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

Divide each side by '6'.
n = 1

Simplifying
n = 1