7n-6=3(n+6)

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

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

Reorder the terms:
-6 + 7n = 3(n + 6)

Reorder the terms:
-6 + 7n = 3(6 + n)
-6 + 7n = (6 * 3 + n * 3)
-6 + 7n = (18 + 3n)

Solving
-6 + 7n = 18 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-6 + 7n + -3n = 18 + 3n + -3n

Combine like terms: 7n + -3n = 4n
-6 + 4n = 18 + 3n + -3n

Combine like terms: 3n + -3n = 0
-6 + 4n = 18 + 0
-6 + 4n = 18

Add '6' to each side of the equation.
-6 + 6 + 4n = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 4n = 18 + 6
4n = 18 + 6

Combine like terms: 18 + 6 = 24
4n = 24

Divide each side by '4'.
n = 6

Simplifying
n = 6