6=2(3+4(n-7))

Solution for 6=2(3+4(n-7)) equation:

Simplifying
6 = 2(3 + 4(n + -7))

Reorder the terms:
6 = 2(3 + 4(-7 + n))
6 = 2(3 + (-7 * 4 + n * 4))
6 = 2(3 + (-28 + 4n))

Combine like terms: 3 + -28 = -25
6 = 2(-25 + 4n)
6 = (-25 * 2 + 4n * 2)
6 = (-50 + 8n)

Solving
6 = -50 + 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 + -8n = -50 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + -8n = -50 + 0
6 + -8n = -50

Add '-6' to each side of the equation.
6 + -6 + -8n = -50 + -6

Combine like terms: 6 + -6 = 0
0 + -8n = -50 + -6
-8n = -50 + -6

Combine like terms: -50 + -6 = -56
-8n = -56

Divide each side by '-8'.
n = 7

Simplifying
n = 7