((n-6)2)=(9(n-7))

Solution for ((n-6)2)=(9(n-7)) equation:

Simplifying
((n + -6) * 2) = (9(n + -7))

Reorder the terms:
((-6 + n) * 2) = (9(n + -7))

Reorder the terms for easier multiplication:
(2(-6 + n)) = (9(n + -7))
((-6 * 2 + n * 2)) = (9(n + -7))
((-12 + 2n)) = (9(n + -7))
(-12 + 2n) = (9(n + -7))

Remove parenthesis around (-12 + 2n)
-12 + 2n = (9(n + -7))

Reorder the terms:
-12 + 2n = (9(-7 + n))
-12 + 2n = ((-7 * 9 + n * 9))
-12 + 2n = ((-63 + 9n))
-12 + 2n = (-63 + 9n)

Remove parenthesis around (-63 + 9n)
-12 + 2n = -63 + 9n

Solving
-12 + 2n = -63 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-12 + 2n + -9n = -63 + 9n + -9n

Combine like terms: 2n + -9n = -7n
-12 + -7n = -63 + 9n + -9n

Combine like terms: 9n + -9n = 0
-12 + -7n = -63 + 0
-12 + -7n = -63

Add '12' to each side of the equation.
-12 + 12 + -7n = -63 + 12

Combine like terms: -12 + 12 = 0
0 + -7n = -63 + 12
-7n = -63 + 12

Combine like terms: -63 + 12 = -51
-7n = -51

Divide each side by '-7'.
n = 7.285714286

Simplifying
n = 7.285714286