4+9n=10n+n-6

Solution for 4+9n=10n+n-6 equation:

Simplifying
4 + 9n = 10n + n + -6

Reorder the terms:
4 + 9n = -6 + 10n + n

Combine like terms: 10n + n = 11n
4 + 9n = -6 + 11n

Solving
4 + 9n = -6 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
4 + 9n + -11n = -6 + 11n + -11n

Combine like terms: 9n + -11n = -2n
4 + -2n = -6 + 11n + -11n

Combine like terms: 11n + -11n = 0
4 + -2n = -6 + 0
4 + -2n = -6

Add '-4' to each side of the equation.
4 + -4 + -2n = -6 + -4

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

Combine like terms: -6 + -4 = -10
-2n = -10

Divide each side by '-2'.
n = 5

Simplifying
n = 5