(N-6)4=(n-3)2

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

Simplifying
(N + -6) * 4 = (n + -3) * 2

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

Reorder the terms for easier multiplication:
4(-6 + N) = (n + -3) * 2
(-6 * 4 + N * 4) = (n + -3) * 2
(-24 + 4N) = (n + -3) * 2

Reorder the terms:
-24 + 4N = (-3 + n) * 2

Reorder the terms for easier multiplication:
-24 + 4N = 2(-3 + n)
-24 + 4N = (-3 * 2 + n * 2)
-24 + 4N = (-6 + 2n)

Solving
-24 + 4N = -6 + 2n

Solving for variable 'N'.

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

Add '24' to each side of the equation.
-24 + 24 + 4N = -6 + 24 + 2n

Combine like terms: -24 + 24 = 0
0 + 4N = -6 + 24 + 2n
4N = -6 + 24 + 2n

Combine like terms: -6 + 24 = 18
4N = 18 + 2n

Divide each side by '4'.
N = 4.5 + 0.5n

Simplifying
N = 4.5 + 0.5n