6n+6=9(n+8)-7n

Solution for 6n+6=9(n+8)-7n equation:

Simplifying
6n + 6 = 9(n + 8) + -7n

Reorder the terms:
6 + 6n = 9(n + 8) + -7n

Reorder the terms:
6 + 6n = 9(8 + n) + -7n
6 + 6n = (8 * 9 + n * 9) + -7n
6 + 6n = (72 + 9n) + -7n

Combine like terms: 9n + -7n = 2n
6 + 6n = 72 + 2n

Solving
6 + 6n = 72 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
6 + 6n + -2n = 72 + 2n + -2n

Combine like terms: 6n + -2n = 4n
6 + 4n = 72 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + 4n = 72 + 0
6 + 4n = 72

Add '-6' to each side of the equation.
6 + -6 + 4n = 72 + -6

Combine like terms: 6 + -6 = 0
0 + 4n = 72 + -6
4n = 72 + -6

Combine like terms: 72 + -6 = 66
4n = 66

Divide each side by '4'.
n = 16.5

Simplifying
n = 16.5