2n+6=9n-28.8

Solution for 2n+6=9n-28.8 equation:

Simplifying
2n + 6 = 9n + -28.8

Reorder the terms:
6 + 2n = 9n + -28.8

Reorder the terms:
6 + 2n = -28.8 + 9n

Solving
6 + 2n = -28.8 + 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.
6 + 2n + -9n = -28.8 + 9n + -9n

Combine like terms: 2n + -9n = -7n
6 + -7n = -28.8 + 9n + -9n

Combine like terms: 9n + -9n = 0
6 + -7n = -28.8 + 0
6 + -7n = -28.8

Add '-6' to each side of the equation.
6 + -6 + -7n = -28.8 + -6

Combine like terms: 6 + -6 = 0
0 + -7n = -28.8 + -6
-7n = -28.8 + -6

Combine like terms: -28.8 + -6 = -34.8
-7n = -34.8

Divide each side by '-7'.
n = 4.971428571

Simplifying
n = 4.971428571