14=2(n-3)+6

Solution for 14=2(n-3)+6 equation:

Simplifying
14 = 2(n + -3) + 6

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

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

Combine like terms: -6 + 6 = 0
14 = 0 + 2n
14 = 2n

Solving
14 = 2n

Solving for variable 'n'.

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

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

Combine like terms: 2n + -2n = 0
14 + -2n = 0

Add '-14' to each side of the equation.
14 + -14 + -2n = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -2n = 0 + -14
-2n = 0 + -14

Combine like terms: 0 + -14 = -14
-2n = -14

Divide each side by '-2'.
n = 7

Simplifying
n = 7