-2(n-3)=8n-14

Solution for -2(n-3)=8n-14 equation:

Simplifying
-2(n + -3) = 8n + -14

Reorder the terms:
-2(-3 + n) = 8n + -14
(-3 * -2 + n * -2) = 8n + -14
(6 + -2n) = 8n + -14

Reorder the terms:
6 + -2n = -14 + 8n

Solving
6 + -2n = -14 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
6 + -2n + -8n = -14 + 8n + -8n

Combine like terms: -2n + -8n = -10n
6 + -10n = -14 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + -10n = -14 + 0
6 + -10n = -14

Add '-6' to each side of the equation.
6 + -6 + -10n = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -10n = -14 + -6
-10n = -14 + -6

Combine like terms: -14 + -6 = -20
-10n = -20

Divide each side by '-10'.
n = 2

Simplifying
n = 2