6+4n+5n=3n+7n

Solution for 6+4n+5n=3n+7n equation:

Simplifying
6 + 4n + 5n = 3n + 7n

Combine like terms: 4n + 5n = 9n
6 + 9n = 3n + 7n

Combine like terms: 3n + 7n = 10n
6 + 9n = 10n

Solving
6 + 9n = 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
6 + 9n + -10n = 10n + -10n

Combine like terms: 9n + -10n = -1n
6 + -1n = 10n + -10n

Combine like terms: 10n + -10n = 0
6 + -1n = 0

Add '-6' to each side of the equation.
6 + -6 + -1n = 0 + -6

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

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

Divide each side by '-1'.
n = 6

Simplifying
n = 6