-5n+(6+6n)=3(3n+2)

Solution for -5n+(6+6n)=3(3n+2) equation:

Simplifying
-5n + (6 + 6n) = 3(3n + 2)

Remove parenthesis around (6 + 6n)
-5n + 6 + 6n = 3(3n + 2)

Reorder the terms:
6 + -5n + 6n = 3(3n + 2)

Combine like terms: -5n + 6n = 1n
6 + 1n = 3(3n + 2)

Reorder the terms:
6 + 1n = 3(2 + 3n)
6 + 1n = (2 * 3 + 3n * 3)
6 + 1n = (6 + 9n)

Add '-6' to each side of the equation.
6 + -6 + 1n = 6 + -6 + 9n

Combine like terms: 6 + -6 = 0
0 + 1n = 6 + -6 + 9n
1n = 6 + -6 + 9n

Combine like terms: 6 + -6 = 0
1n = 0 + 9n
1n = 9n

Solving
1n = 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.
1n + -9n = 9n + -9n

Combine like terms: 1n + -9n = -8n
-8n = 9n + -9n

Combine like terms: 9n + -9n = 0
-8n = 0

Divide each side by '-8'.
n = 0

Simplifying
n = 0